English

Fan, splint and branching rules

Representation Theory 2012-08-09 v2

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.

Keywords

Cite

@article{arxiv.1111.6787,
  title  = {Fan, splint and branching rules},
  author = {Vladimir Laykhovsky and Anton Nazarov},
  journal= {arXiv preprint arXiv:1111.6787},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T19:43:12.778Z