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June 2011 Witten Multiple Zeta Values Attached to $\mathfrak{sl}(4)$
Jianqiang ZHAO, Xia ZHOU
Tokyo J. Math. 34(1): 135-152 (June 2011). DOI: 10.3836/tjm/1313074447

Abstract

In this paper we shall prove that every Witten multiple zeta value of weight $w>3$ attached to $\mathfrak{sl}(4)$ at nonnegative integer arguments is a finite $\mathbb{Q}$-linear combination of MZVs of weight $w$ and depth three or less, except for the nine irregular cases where the Riemann zeta value $\zeta(w-2)$ and the double zeta values of weight $w-1$ and depth $<3$ are also needed.

Citation

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Jianqiang ZHAO. Xia ZHOU. "Witten Multiple Zeta Values Attached to $\mathfrak{sl}(4)$." Tokyo J. Math. 34 (1) 135 - 152, June 2011. https://doi.org/10.3836/tjm/1313074447

Information

Published: June 2011
First available in Project Euclid: 11 August 2011

zbMATH: 1239.11100
MathSciNet: MR2866639
Digital Object Identifier: 10.3836/tjm/1313074447

Subjects:
Primary: 11M41
Secondary: 11M32

Rights: Copyright © 2011 Publication Committee for the Tokyo Journal of Mathematics

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Vol.34 • No. 1 • June 2011
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