Seminar Event Detail


Date:  Friday, October 25, 2013
Location:  3866 East Hall (4:10 PM to 5:00 PM)

Title:  Arc diagrams and characters of Lie superalgebras

Abstract:   We present a combinatorial tool called arc diagrams for studying the highest weights of finite dimensional representations of the general linear superalgebra gl(m,n). We recently used this tool to prove the Kac-Wakimoto character formula which was stated in 1994, and obtain a description of the modules to which this formula applies; namely modules whose (generalized) Kazhdan-Lusztig polynomials are monomials. Interestingly, the super-Schur polynomials appear as the characters of a special subclass of these modules. In this talk, we will play with these diagrams and explore their nice properties.


Speaker:  Shifra Reif
Institution:  U. Michigan

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