Speaker : Prof. Jae-Hoon Kwon (Seoul National University)
Title : A combinatorial model for irreducible characters of classical Lie algebras and their branching rules
Time : 2017-01-12 (Thu) 15:00 - 16:00
Place : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: In this talk, we introduce a new combinatorial model for irreducible characters of simple Lie algebras of classical type BCD, which we call a spinor model. This model turns out to be naturally compatible with type A combinatorics and have several interesting applications in representation theory. As one of its applications, we explain how classical branching rules of irreducible characters in a stable range, including Littlewood restriction rule, can be extended to arbitrary highest weights in a bijective way.