MIT Lie Groups Seminar

Speaker:  Artem Kalmykov

Title:  Whittaker vectors and vertex-IRF transformation

Abstract: “In this talk I will explain how a certain construction from the theory of integrable systems (a vertex-IRF transformation) can be interpreted in terms of familiar objects from (geometric) representation theory and how this interpretation gives new results of independent interest. For instance, I will show how to construct Whittaker vectors for representations of gl_n using the Gelfand-Tsetlin subalgebra and how it is related to nonstandard quantizations of the group GL_n.”