◈ 학술지
◈ 도서
◈ 전자학술지
◈ 투고요령
◈ 수학신간도서
◈ MSC
◈ 논문검색
◈ 학술행사
홈 > 학술정보 >학술행사 > 세미나
2017 POSTECH Math Colloquium

Title
Representations of classical Lie algebras and combinatorics of their branching rules
Speaker
Jae-Hoon Kwon   (Seoul National Univ. )
Date
2017-05-26 15:50:00
Host
POSTECH
Place
Math Sci Bldg 404
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.
개인정보보호정책 l 이메일주소집단수집금지 l 뷰어다운로드
qr코드