Weyl groups of some hyperbolic Kac-Moody algebras
Group Theory
2017-05-16 v2 Rings and Algebras
Representation Theory
Abstract
We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac-Moody algebras T_n^{++}, obtained by a process of double extension from a Cartan matrix of finite type T_n, whose corresponding generalized Cartan matrices are symmetric.
Keywords
Cite
@article{arxiv.1601.04117,
title = {Weyl groups of some hyperbolic Kac-Moody algebras},
author = {Alex J. Feingold and Daniel Vallières},
journal= {arXiv preprint arXiv:1601.04117},
year = {2017}
}
Comments
30 pages; Minor corrections from referee; Final version for publication; PARI program and explanatory Readme.txt file used in proof of Theorem 6.5 are available from the authors, may be available as ancillary files