Georgia Benkart

Georgia Benkart (* 1949 in Youngstown , Ohio ) is an American mathematician . She is a professor at the University of Wisconsin – Madison and deals with Lie groups and quantum groups (as well as related algebraic structures such as Lie superalgebras) and their representation theory as well as with combinatorics of the representation theory of Lie algebras.

Scientific career

Benkart graduated from Ohio State University with a bachelor's degree in 1970 ( summa cum laude ) and received his PhD from Yale University in 1974 with Nathan Jacobson ( Inner Ideals and the Structure of Lie Algebras ). She then went to the University of Wisconsin-Madison; first as MacDuffee Instructor , 1976 as Assistant Professor , 1983 as Professor and then as EB Van Vleck Professor . In 2006 she retired.

She was also a visiting scientist at MSRI , the Institute for Advanced Study (visiting professor 1996), the Aspen Center of Physics and the University of Virginia .

She was Polya Lecturer of the Mathematical Association of America and in 2014 gave the Noether Lecture ( Walking on Graphs the Representation Theory of Ways ) and the ICM Emmy Noether Lecture (Connecting the McKay correspondence and the Schur-Weyl duality). She was a Woodrow Wilson Fellow and is a Fellow of the American Mathematical Society . From 2009 to 2011 she was President of the Association for Women in Mathematics .

Work

With the classification of modular Lie algebras of rank 1 and the recognition theorem, she made important contributions to the subsequent classification of finite-dimensional simple modular Lie algebras . With Roby, she introduced down-up algebras inspired by the algebra of creation and annihilation operators in physics . It extended the representation of quantum groups with crystal bases to the representation of quantum superalgebras. Benkart also classified the Lie algebras graded with finite root systems.

Fonts

• with Daniel Britten, Frank Lemire: Stability in Modules for Classical Lie Algebras: A Constructive Approach. Memoirs of the American Mathematical Society 85. Providence, RI: American Mathematical Society. 1990
• with Bruce Allison, Yun Gao: Lie algebras graded by the root systems BCr, r ≥ 2. Memoirs of the American Mathematical Society 158. American Mathematical Society 2002.
• with Thomas Gregory, Alexander Premet: The recognition theorem for graded Lie algebras in prime characteristic. Memoirs of the American Mathematical Society 197. American Mathematical Society. 2009

Web links

• Curriculum vitae ( memento from July 19, 2008 in the Internet Archive ) (PDF)
• Personal Profile of Dr. Georgia M. Benkart

Individual evidence

1. ↑ Georgia Benkart in the Mathematics Genealogy Project (English)
2. ^ Noether Lecture