The quantum g(2) invariant and relations of multiple zeta values

Authors
Ihara, K Takamuki, T
Citation
K. Ihara et T. Takamuki, The quantum g(2) invariant and relations of multiple zeta values, J KNOT TH R, 10(7), 2001, pp. 983-997
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
10
Issue
7
Year of publication
2001
Pages
983 - 997
Database
ISI
SICI code
0218-2165(200111)10:7<983:TQGIAR>2.0.ZU;2-E
Abstract
In this paper we obtain a family of relations among the multiple zeta value s by calculating the quantum (g(2), Gamma (1,0))-invariant of a framed orie nted link, where Gamma (1,0) is the 7-dimensional irreducible representatio n of the exceptional simple Lie algebra g(2) over C.