Weyl groups of some hyperbolic Kac-Moody algebras

Published 16 Jan 2016 in math.GR, math.RA, and math.RT | (1601.04117v2)

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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