A recursion formula for branching from n to 2 subalgebras

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Korkeathikhun K.; Khuhirun B.; Sriwongsa S.; Wiboonton K.

Publisher: World Scientific Publishing

Publication year: 2025

Journal: Journal of Algebra and Its Applications (0219-4988)

ISSN: 0219-4988

eISSN: 1793-6829

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-105003972998&doi=10.1142%2fS0219498826501999&partnerID=40&md5=b2a4553f21b41ca74339a2ab24d1c2c7

Languages: English-Great Britain (EN-GB)

View on publisher site

Abstract

For any representation of a complex simple Lie algebra n, one problem of branching rules to 2-subalgebra is to determine the multiplicity of each irreducible component. In this paper, we derive a recursion formula of such multiplicities by restricting a certain tensor representation in two ways, in which the Pieri's rule is involved. We also investigate branching rules for fundamental representations as they are initial conditions of the recursion formula. © 2026 World Scientific Publishing Company.

Keywords

No matching items found.