Witten Volume Formulas for Semi-Simple Lie Algebras
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Publication:3095109
DOI10.1515/INTEG.2011.042zbMATH Open1279.11091arXiv1001.3630OpenAlexW2962824720MaRDI QIDQ3095109
Publication date: 28 October 2011
Published in: Integers (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1001.3630
Relationship to Lie algebras and finite simple groups (11F22) Other Dirichlet series and zeta functions (11M41) Dedekind eta function, Dedekind sums (11F20) Simple, semisimple, reductive (super)algebras (17B20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
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