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arxiv: 1001.3630 · v1 · pith:PSLYPYPCnew · submitted 2010-01-20 · 🧮 math.NT · math.CO

Witten volume formulas for semi-simple Lie algebras

classification 🧮 math.NT math.CO
keywords algebrasformulassemi-simplevolumewittenalgebraiccombinatorialcombining
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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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