Weyl modules as generalized fusion modules
Talk by Prof. Dr. Sergey Loktev
Date: 07.04.11 Time: 15.15 - 16.45 Room: ETH HG G 43
Abstract: We discuss representations of multi-variable current algebras, that is, the Lie algebra of polynomials with values in a reductive Lie algebra. Namely, we concentrate on Weyl modules - the universal finite-dimensional representations, generated by a common eigenvector for currents with values in the Borel subalgebra.For one-variable currents their characters can be decomposed into product of characters of simplest Weyl modules related to fundamental weights. Nevertheless, they are not just a tensor product of these simplest modules. However there is a generalization of tensor product called fusion product, that works in this situation. In this talk we discuss how to generalize this approach for two-variable case.