nLab Andrei Zelevinsky

Selected writings

Andrei Zelevinsky’s main interests were in representation theory, algebraic geometry, polyhedral and algebraic combinatorics and Lie theory (the circle of questions relating Lie algebras, Lie groups, Kac-Moody groups, quantum groups etc.).

With Sergey Fomin, he created a theory of cluster algebras. He studied multidimensional generalizations of hypergeometric functions, arrangements of hyperplanes, bases for quantum groups, quantum determinants and minors, Grassmanians, flag and Schubert varieties etc.

Selected writings

Introducing cluster algebras:

and quantum cluster algebras:

See also:

category: people

Last revised on July 8, 2024 at 15:49:28. See the history of this page for a list of all contributions to it.