Fan, splint and branching rules

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.

17 pages, 4 figures, submitted to "Zapiski Nauch. Sem. POMI". In version 2 type 2-2 case revised, general results unchanged

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

Cited by in corpus (2)

• On affine extension of splint root systems
• Splints of root systems on Lie Superalgebras