POSTECH Math

Department of Mathematics, POSTECH

Infomation

Category 2017 Math Colloquium
날짜 2017-05-26 시간 15:50:00 ~ 18:00:00
장소 Math Sci Bldg 404
Speaker Jae-Hoon Kwon Host YoungJu Choie, Jae Choon Cha
소속 Seoul National Univ.
TOPIC Representations of classical Lie algebras and combinatorics of their branching rules

Abstract

Title: Representations of classical Lie algebras and combinatorics of their branching rules

Abstract: The theory of crystal basis provides a powerful tool to study combinatorial structure of representations of Kac-Moody algebras and their quantum groups. In this talk, we introduce a new combinatorial model for irreducible characters of simple Lie algebras of classical type BCD, which is obtained by applying the crystal basis theory to the higher level fermionic Fock space. As one of its applications, we explain how classical branching rules of irreducible characters in a stable range, including the well-known Littlewood restriction rule, can be extended to arbitrary highest weights in a bijective way.