nLab Alexandre Kirillov

Alexandre Aleksandrovich Kirillov (Александр Александрович Кириллов) is a professor of mathematics at the University of Pennsylvania. He invented the orbit method in representation theory, developed in other flavours also by Kostant and Souriau. He was a student of Israel Gelfand and they together lead a famous journal Functional Analysis and its Applications.

• Wikipedia entry

Selected writings

On superalgebra and supergeometry (Grassmann algebra, super vector spaces, supermanifolds, super Lie algebras, super Lie groups, …):

• Felix A. Berezin (edited by Alexandre A. Kirillov): Introduction to Superanalysis, Mathematical Physics and Applied Mathematics 9, Springer (1987) [doi;10.1007/978-94-017-1963-6_8]

On Reshetikhin-Turaev theory constructing modular functors from modular tensor categories:

• Bojko Bakalov, Alexandre Kirillov, Lectures on tensor categories and modular functors, University Lecture Series 21, Amer. Math. Soc. (2001) (ISBN:978-1-4704-2168-7, webpage).

category: people