V. D. Lyakhovsky, A. A. Nazarov, “Fan, splint, and branching rules”, Zap. Nauchn. Sem. POMI, 2012, Volume 398,Pages <nobr>162

This article is cited in 1 paper

Fan, splint, and branching rules

V. D. Lyakhovsky^a, A. A. Nazarov^b

^a Department of High-Energy and Elementary Particle Physics, SPb State University, St. Petersburg, Russia
^b Department of Mathematics and Mechanics, SPb State University, Chebyshev Laboratory, St. Petersburg, Russia

Abstract: Splint of root system for simple Lie algebra appears naturally in studies of (regular) embeddings of reductive subalgebras. Splint can be used to construct branching rules. We demonstrate that splint properties implementation drastically simplify calculations of branching coefficients.

Key words and phrases: Lie algebras, representation theory, root systems, branching rules.

UDC: 517.9

Received: 15.10.2011

Language: English