Colloquium
Representations of classical Lie algebras and combinatorics of their branching rules
작성자Author
sugarless
작성일Date
20170403 16:22
조회Views
557
분야Field  2017 Math Colloquium  

날짜Date  20170526  시간Time  15:50 ~ 18:00 
장소Place  Math Sci Bldg 404  초청자Host  YoungJu Choie, Jae Choon Cha 
연사Speaker  JaeHoon Kwon  소속Affiliation  Seoul National Univ. 
TOPIC  Representations of classical Lie algebras and combinatorics of their branching rules  
소개 및 안내사항Content  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 KacMoody 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 wellknown Littlewood restriction rule, can be extended to arbitrary highest weights in a bijective way. 
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