Victor Protsak

Visiting Assistant Professor of Mathematics

Web Site www.math.cornell.edu/~protsak Contact Information Office:  432 Malott Hall Phone:  (607) 255-4373 Fax:  (607) 255-7149 Email:  protsak@math.cornell.edu Courses & Office Hours

Education

Ph.D. (2000) Yale University

Research Area: Algebra, Representation Theory

I am interested in algebraic aspects of representation theory of reductive Lie groups. This involves looking at representations of Lie algebras and enveloping algebras. In particular, I studied how reductive dual pair correspondence is reflected on the level of primitive ideals in enveloping algebras. As an application, I have found explicit systems of generators for primitive ideals quantizing small nilpotent orbits in general linear and orthogonal Lie algebra.

I am also concerned with explicit descriptions of representations of Lie groups and Lie algebras. One of my results in this direction is a realization of certain infinite-dimensional simple modules in terms of standard monomials.

Selected Publications

A theory of rank for enveloping algebras. I, preprint MPI 01-32.

Rank ideals and Capelli identities, J. of Algebra, to appear.

A realization of some simple highest weight gl(n)-modules, preprint.

Last modified: August 16, 2007