# Weyl character formula and Kac-Wakimoto conjecture

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강연자 권재훈
소속 서울대
date 2015-09-17

The character of the finite-dimensional irreducible modules over a finite-dimensional simple Lie algebra is given by the celebrated Weyl character formula. However, such a formula does not hold in general for finite-dimensional irreducible modules over classical Lie superalgebras.
In this talk, we give a brief review on classical results and then introduce an analogous conjectural character formula for finite-dimensional irreducible modules over classical Lie superalgebras, often referred to as Kac-Wakimoto formula, together with our recent work on the proof for the case of ortho-symplectic Lie superalgebras.

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1. 22Sep
by 김수현
in 수학강연회

Weyl character formula and Kac-Wakimoto conjecture

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