Generalized spin representations and reductive finite-dimensional quotients of maximal compact subalgebras of Kac-Moody algebras

Details Generalized spin representations and reductive finite-dimensional quotients of maximal compact subalgebras of Kac-Moody algebras Generalized spin representations and reductive finite-dimensional quotients of maximal compact subalgebras of Kac-Moody algebras

2011-10-25

arxiv.org/abs/1110.5576v1

Mathematics

Representation Theory

Scientific paper

We introduce the notion of a generalized spin representation of the maximal
compact subalgebra of a simply laced Kac-Moody algebra in order to show that
every such non-abelian subalgebra has a non-trivial finite-dimensional
semisimple quotient.

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