On pentagon, ten-term, and tetrahedron relations

R. M. Kashaev, S. M. Sergeev

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


It is shown that the tetrahedron equation under the substitution R123 = S̄13P23S13, where P23 is the permutation operator, is reduced to a pair of pentagon and one ten-term equations on operators S and S̄. Examples of infinite dimensional solutions are found. O-doubles of Novikov, which generalize the Heisenberg double of a Hopf algebra, provide a particular algebraic solution to the problem.

Original languageEnglish
Pages (from-to)309-319
Number of pages11
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - 11 Jul 1998
Externally publishedYes


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