Witten volume formulas for semi-simple Lie algebras

Mathematics – Number Theory

Scientific paper

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15 pages, presented at the 2009 Western Coast Number Theory Conference

Scientific paper

In this paper we provide an algebraic derivation of the explicit Witten
volume formulas for a few semi-simple Lie algebras by combining a combinatorial
method with the ideas used by Gunnells and Sczech in computation of
higher-dimensional Dedekind sums.

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