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Media type:
E-Article
Title:
Symmetry on Linear Relations for Multiple Zeta Values
Contributor:
Ihara, Kentaro;
Ochiai, Hiroyuki
Published:
Cambridge University Press (CUP), 2008
Published in:
Nagoya Mathematical Journal, 189 (2008), Seite 49-62
Language:
English
DOI:
10.1017/s0027763000009508
ISSN:
0027-7630;
2152-6842
Origination:
Footnote:
Description:
AbstractWe find a symmetry for the reflection groups in the double shuffle space of depth three. The space was introduced by Ihara, Kaneko and Zagier and consists of polynomials in three variables satisfying certain identities which are connected with the double shuffle relations for multiple zeta values. Goncharov has defined a space essentially equivalent to the double shuffle space and has calculated the dimension. In this paper we relate the structure among multiple zeta values of depth three with the invariant theory for the reflection groups and discuss the dimension of the double shuffle space in this view point.