On affine extension of splint root systems

Abstract

Splint of root system of simple Lie algebra appears naturally in the study of (regular) embeddings of reductive subalgebras. It can be used to derive branching rules. Application of splint properties drastically simplifies calculations of branching coefficients. We study affine extension of splint root system of simple Lie algebra and obtain relations on theta and branching functions.

5 pages, contribution to the proceedings of SQS'2011 workshop

References in corpus (3)

• Recursive algorithm and branching for nonmaximal embeddings
• On a property of branching coefficients for affine Lie algebras
• Splints of classical root systems