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33:
468:. Her work at Wisconsin was recognized by a Romnes Fellowship in 1985, a Distinguished Teaching Award in 1987, and a WARF Mid-Career Faculty Research Award in 1996. In 2008 the University of California Lie Groups and Lie Algebras meeting was held in Benkart's honor. Her talks and lectures include two invited lectures at the Joint Mathematics Meetings and a plenary lecture at a meeting of the Canadian Mathematical Society.
405:
Later
Benkart extended these results in two directions. In a series of papers with Alberto Elduque she developed the theory of root graded Lie superalgebras. In a second series of works with Bruce Allison, Arturo Pianzola, Erhard Neher, et al. she determined the universal central covers of these
1764:
Adem, Alejandro; Halverson, Tom; Ram, Arun; Zelmanov, Efim; Sundaram, Sheila; Pianzola, Arturo; Charney, Ruth; Kirkman, Ellen; Farnsteiner, Rolf; Elduque, Alberto; Christodoulopoulou, Konstantina; Witherspoon, Sarah; Zelmanov, Efim; Orellana, Rosa; Barcelo, Hélène; Nakano, Daniel (March 2023).
452:. She served as the associate secretary of the American Mathematical Society for the Central Section from 2010 to 2020, and was a member of the governing council in 1995 and from 2010 to 2021. Benkart was active in the
421:. These are highly invariant bases which are well suited for decompositions of tensor products. In a paper with Seok-Jin Kang and Kashiwara, Benkart extended the theory of crystal bases to quantum superalgebras.
456:(AWM) over many years, served as chair of the membership portfolio and the nominating committee, and helped plan the first AWM Research Symposium, which was also a celebration of the 40th anniversary of AWM.
1809:
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352:. Her work with J. Marshall Osborn on toroidal rank-one Lie algebras became one of the building blocks of the classification. The complete description of
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She was elected and served as president of the
Association for Women in Mathematics from 2009 to 2011. In 2014 she was selected to deliver the AWM-AMS
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444:
Benkart served on several editorial boards including the boards of the
American Mathematical Society for Surveys and Monographs and Abstracts,
2062:
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2047:
465:
1375:
1395:
Professor
Georgia Benkart Associate Secretary (Central Section) Term: February 1, 2010 - January 31, 2020 University of Wisconsin, Madison
1642:
290:, first as a MacDuffee Instructor and eventually as a E. B. Van Vleck Professor of Mathematics until she retired from teaching in 2006.
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317:. During her career, Benkart delivered over 350 invited talks including 3 plenary lectures at the Joint Mathematics Meetings and the
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Benkart was born on
December 30, 1947, in Youngstown, Ohio, to George Benkart II and Florence K. Benkart. Her father served in the
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started to work on classification of root-graded Lie algebras and intersection matrix algebras. The latter were introduced by
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530:. Memoirs of the American Mathematical Society. Vol. 85. Providence, R.I.: American Mathematical Society. 1990.
489:
In 2014 at the
International Congress of Mathematicians held in Seoul, she delivered the ICM Emmy Noether Lecture.
219:(December 30, 1947 – April 29, 2022) was an American mathematician who was known for her work in the structure and
872:. Memoirs of the American Mathematical Society. Vol. 85. Providence, R.I.: American Mathematical Society.
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in his work on singularities. Berman and Moody recognized that these algebras (generalizations of affine
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She was selected as a fellow of the
Association for Women in Mathematics in the inaugural 2018 class.
603:. Memoirs of the American Mathematical Society. Vol. 158. American Mathematical Society. 2002.
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356:(with Gregory, Osborn, Strade, Wilson) can stand alone, and also has applications in the theory of
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915:. Memoirs of the American Mathematical Society. Vol. 197. American Mathematical Society.
837:. Memoirs of the American Mathematical Society. Vol. 158. American Mathematical Society.
633:. Memoirs of the American Mathematical Society. Vol. 197. American Mathematical Society.
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In 2009, she published, jointly with Thomas
Gregory and Alexander Premet, the first complete
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Lecture at the
International Congress of Mathematicians in Seoul, South Korea in 2014.
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486:. The title of her talk was Walking on Graphs the Representation Theory Way.
390:) are universal root graded Lie algebras and classified them for simply laced
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1376:"American Mathematical Society Council | February 1, 2017 - January 31, 2018"
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and her mother was a teacher in
Youngstown's "ethnically rich south side."
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Upon completing her doctoral degree, Benkart began her long career at the
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Stability in Modules for Classical Lie Algebras: A Constructive Approach
527:
Stability in Modules for Classical Lie Algebras: A Constructive Approach
1876:
1094:
The recognition theorem for graded Lie algebras in prime characteristic
913:
The recognition theorem for graded Lie algebras in prime characteristic
630:
The recognition theorem for graded Lie algebras in prime characteristic
283:
She was awarded a PhD in mathematics from the Yale University in 1974.
1350:
1284:"Mathematical Surveys and Monographs Editorial Committee Past Members"
2003:
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639:
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Benkart made a contribution to the classification of simple modular
336:
Benkart died on April 29, 2022, aged 74, from undisclosed causes in
804:
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32:
954:
394:. Benkart and Zelmanov tackled the remaining cases involving the
866:
Benkart, Georgia M.; Britten, Daniel; Lemire, Frank (May 1990).
231:. She published over 130 journal articles and co-authored three
1181:"The centroid of extended affine and root graded Lie algebras"
935:
911:
Benkart, Georgia; Gregory, Thomas; Premet, Alexander (2009).
627:
Benkart, Georgia; Gregory, Thomas; Premet, Alexander (2009).
1645:. the organizing committee of Seoul ICM 2014. Archived from
1238:
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki (2000).
554:
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki (2000).
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964:. University of Wisconsin Math Department. Archived from
340:. Her survivors included her sister, Paula Kaye Benkart.
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Benkart received her BS degree summa cum laude from the
1112:
MartĂnez, Consuelo; Zelmanov, Efim I. (June 27, 2003).
514:
mathematics department posted remembrances of Benkart.
471:
In 2000–2002 Benkart was named a Polya Lecturer by the
275:
in 1973. She completed her doctoral work at Yale under
1548:"List of Fellows of the American Mathematical Society"
962:"A Brief History of Women Mathematicians at Wisconsin"
495:
In 2022, a tribute to her contributions to her field,
464:
Benkart received a Woodrow Wilson Fellowship from the
371:
of the recognition theorem for graded Lie algebras in
1613:
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2103:
Fellows of the Association for Women in Mathematics
1478:"Joint Mathematics Meeting AMS-MAA Invited Address"
1400:
829:Allison, Bruce; Benkart, Georgia; Gao, Yun (2002).
409:One of the pillars of the representation theory of
1114:"Lie superalgebras graded by P ( n ) and Q ( n )"
828:
2078:Yale Graduate School of Arts and Sciences alumni
2029:
1111:
1118:Proceedings of the National Academy of Sciences
859:
776:Ohio State University Department of Mathematics
281:Inner Ideals and the Structure of Lie Algebras.
1518:
1810:
1720:University of Wisconsin – Madison Mathematics
1562:
1276:
1240:"Crystal bases for the quantum superalgebra U
1016:Benkart, Georgia; J. Marshall Osborn (1988).
556:"Crystal bases for the quantum superalgebra U
466:Woodrow Wilson National Fellowship Foundation
118:Classification of simple modular Lie algebras
2093:Fellows of the American Mathematical Society
1774:Notices of the American Mathematical Society
1231:
1178:
1068:Notices of the American Mathematical Society
906:
904:
805:"Personal Profile of Dr. Georgia M. Benkart"
501:Notices of the American Mathematical Society
439:
1691:"Remembering Georgia Benkart (1947 - 2022)"
1592:
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1492:
1452:"University of Wisconsin Honors and Awards"
985:
983:
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432:became a basic tool in the construction of
2073:21st-century American women mathematicians
2068:20th-century American women mathematicians
1817:
1803:
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831:Lie algebras graded by the root systems BC
677:
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596:Lie algebras graded by the root systems BC
271:in 1970 and an MPhil in mathematics from
31:
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1454:. University of Wisconsin. Archived from
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1179:Benkart, Georgia; Neher, Erhard (2006).
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809:Mathematical Sciences Research Institute
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730:
706:
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517:
398:and extended this square to exceptional
295:Mathematical Sciences Research Institute
2083:University of Wisconsin–Madison faculty
1504:Photos from the 2001 CMS Summer Meeting
1061:"Gems from the Work of Georgia Benkart"
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1053:
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672:
625:with Thomas Gregory, Alexander Premet:
497:"Gems from the Work of Georgia Benkart"
413:(and applications to combinatorics) is
262:
2030:
1671:. Association for Women in Mathematics
1623:. Association for Women in Mathematics
1432:. Association for Women in Mathematics
794:
552:with Seok-Jin Kang, Masaki Kashiwara:
479:(AMS) in the inaugural class of 2013.
1798:
1669:"2018 Inaugural Class of AWM Fellows"
1528:. Mathematical Association of America
701:
288:University of Wisconsin–Madison
193:University of Wisconsin–Madison
2063:21st-century American mathematicians
2058:20th-century American mathematicians
2048:Deaths from lung cancer in Wisconsin
1827:Association for Women in Mathematics
1042:
475:. She was elected a Fellow of the
459:
454:Association for Women in Mathematics
143:Association for Women in Mathematics
131:Association for Women in Mathematics
1422:
1355:Mathematical Association of America
991:"Georgia Bankart, Youngstown, Ohio"
523:with Daniel Britten, Frank Lemire:
473:Mathematical Association of America
293:She held visiting positions at the
13:
279:and wrote a dissertation entitled
235:memoirs in four broad categories:
18:American mathematician (1947–2022)
14:
2119:
1736:
941:The Mathematics Genealogy Project
378:In the early 1990s, Benkart and
324:
2108:Aspen Center for Physics people
1708:
1683:
1661:
1550:. American Mathematical Society
1506:. Canadian Mathematical Society
1480:. American Mathematical Society
1410:. American Mathematical Society
1368:
1298:
1286:. American Mathematical Society
1172:
1105:
512:University of Wisconsin–Madison
1716:"Georgia Benkart Remembrances"
929:
683:"In Memoriam: Georgia Benkart"
1:
1767:"Remembering Georgia Benkart"
1754:Mathematics Genealogy Project
1695:American Mathematical Society
1261:10.1090/S0894-0347-00-00321-0
1096:by Murray R. Bremner (2009);
1018:"Toral rank one Lie algebras"
666:
592:with Bruce Allison, Yun Gao:
577:10.1090/S0894-0347-00-00321-0
508:American Mathematical Society
477:American Mathematical Society
233:American Mathematical Society
137:American Mathematical Society
2088:Ohio State University alumni
2053:People from Youngstown, Ohio
1035:10.1016/0021-8693(88)90293-1
303:Institute for Advanced Study
7:
1600:"List of Noether Lecturers"
1316:(6): ebi. January 1, 1987.
343:
245:Lie algebra representations
10:
2124:
1643:"ICM Emmy Noether Lecture"
1580:(2): 1–5. March–April 2009
1208:10.1016/j.jpaa.2005.06.007
1969:
1898:
1833:
1621:"Noether Lecture Profile"
1500:"2001 CMS Summer Meeting"
1322:10.1080/00927878708823457
1310:Communications in Algebra
687:Department of Mathematics
446:Communications in Algebra
440:Service to the profession
210:
198:
188:
170:
163:
122:
114:
87:
68:
42:
30:
23:
2098:Mathematicians from Ohio
1074:(3): 375–384. March 2022
396:Freudenthal magic square
354:Hamiltonian Lie Algebras
311:Aspen Center for Physics
259:and related structures.
1871:Linda Preiss Rothschild
1139:10.1073/pnas.0932706100
745:OfficialUSA.com Records
430:algebraic combinatorics
426:noncommutative algebras
331:Army Corps of Engineers
217:Georgia McClure Benkart
47:Georgia McClure Benkart
37:Georgia Benkart in 2010
1408:"Council Past Members"
716:United States Archives
315:University of Virginia
1185:J. Pure Appl. Algebra
518:Selected publications
269:Ohio State University
221:representation theory
179:Representation Theory
95:Ohio State University
1570:"President's Report"
263:Education and career
237:modular Lie algebras
229:algebraic structures
153:ICM Noether Lecturer
1744:Author Profile Page
1458:on January 21, 2020
1385:on February 4, 2017
1130:2003PNAS..100.8130M
747:. December 30, 1947
2016:Talitha Washington
1825:Presidents of the
1742:Georgia Benkart's
1649:on October 6, 2014
1248:J. Amer. Math. Soc
1022:Journal of Algebra
564:J. Amer. Math. Soc
499:, appeared in the
450:Journal of Algebra
424:Benkart's work on
388:Kac–Moody algebras
338:Madison, Wisconsin
309:, New Jersey, the
301:, California, the
156:MAA Polya Lecturer
80:Madison, Wisconsin
2025:
2024:
1942:Carolyn S. Gordon
1924:Sylvia M. Wiegand
1383:(web.archive.org)
1351:"Georgia Benkart"
1306:"Editorial board"
1124:(14): 8130–8137.
937:"Georgia Benkart"
922:978-0-8218-4226-3
879:978-0-8218-2492-4
844:978-0-8218-2811-3
835:, r ≥ 2
772:"Georgia Benkart"
741:"Georgia Benkart"
460:Awards and honors
434:tensor categories
400:Lie superalgebras
375:at least 5.
214:
213:
165:Scientific career
57:December 30, 1947
2115:
1973:
1865:Bhama Srinivasan
1847:Alice T. Schafer
1819:
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1526:"PĂłlya Lectures"
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689:. April 30, 2022
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415:Masaki Kashiwara
200:Doctoral advisor
149:Noether Lecturer
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61:Youngstown, Ohio
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2010:Kathryn Leonard
1971:
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1960:Georgia Benkart
1948:Barbara Keyfitz
1936:Suzanne Lenhart
1918:Chuu-Lian Terng
1894:
1889:Jill P. Mesirov
1829:
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484:Noether Lecture
462:
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373:characteristics
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277:Nathan Jacobson
273:Yale University
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249:graded algebras
205:Nathan Jacobson
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105:Yale University
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1737:External links
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1574:AWM Newsletter
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1877:Linda Keen
1653:October 2,
1092:Review of
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448:, and the
406:algebras.
313:, and the
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2004:Ruth Haas
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