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Witten Volume Formulas for Semi-Simple Lie Algebras
Published/Copyright:
August 4, 2011
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 the computation of higher-dimensional Dedekind sums.
Keywords.: Witten Multiple Zeta Functions; Multiple Zeta Values
Received: 2010-01-15
Revised: 2010-09-23
Accepted: 2010-09-30
Published Online: 2011-08-04
Published in Print: 2011-August
© de Gruyter 2011
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- Perfect Numbers with Identical Digits
- Remarks on the Pólya–Vinogradov Inequality
- Heights of Divisors of xn – 1
- Bernoulli Numbers and Generalized Factorial Sums
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Articles in the same Issue
- The Number of Solutions of λ(x) = n
- Monochromatic Sums Equal to Products in ℕ
- On the Sum of Reciprocal Generalized Fibonacci Numbers
- Recursively Self-Conjugate Partitions
- Modular Hyperbolas and the Coefficients of (x–1 + 6 + x)k
- Algebraic Proof for the Geometric Structure of Sumsets
- An Erdős–Fuchs Type Theorem for Finite Groups
- Coincidences of Catalan and q-Catalan Numbers
- Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number Theory
- Perfect Numbers with Identical Digits
- Remarks on the Pólya–Vinogradov Inequality
- Heights of Divisors of xn – 1
- Bernoulli Numbers and Generalized Factorial Sums
- Witten Volume Formulas for Semi-Simple Lie Algebras
