Weyl groups of some hyperbolic Kac-Moody algebras

Alex J. Feingold; Daniel Vallières

doi:10.1016/j.jalgebra.2017.05.003

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arXiv · 1601.04117

Weyl groups of some hyperbolic Kac-Moody algebras

Alex J. Feingold·Daniel Vallières

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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.

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BibTeX RIS

Alex J. Feingold, Daniel Vallières. 2016-01-16. Weyl groups of some hyperbolic Kac-Moody algebras. https://doi.org/10.1016/j.jalgebra.2017.05.003

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