On affine extension of splint root systems
Representation Theory
2012-04-10 v1
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.
Cite
@article{arxiv.1204.1855,
title = {On affine extension of splint root systems},
author = {Vladimir Laykhovsky and Anton Nazarov},
journal= {arXiv preprint arXiv:1204.1855},
year = {2012}
}
Comments
5 pages, contribution to the proceedings of SQS'2011 workshop