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Functional Identities for the Rogers Dilogarithm Associated to Cluster Y ‐Systems
Author(s) -
Chapoton Frédéric
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004510
Subject(s) - mathematics , mathematics subject classification , dynkin diagram , cluster (spacecraft) , pure mathematics , subject (documents) , algebra over a field , combinatorics , lie algebra , library science , computer science , programming language
Functional identities for the classical Rogers dilogarithm associated to simply laced Dynkin diagrams are proved uniformly in the setting of Y ‐systems related to clusters. 2000 Mathematics Subject Classification 33B30, 20F55 (primary), 82B23 (secondary).