Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices

We present new solutions of the functional Zamolodchikov tetrahedron equation in terms of birational maps in totally non-commutative variables. All the maps originate from Desargues lattices, which provide geometric realization of solutions to the non-Abelian Hirota–Miwa system. The first map is der...

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Bibliographic Details
Published in:Journal of mathematical physics 2020-09, Vol.61 (9)
Main Authors: Doliwa, Adam, Kashaev, Rinat M.
Format: Article
Language:English
Subjects:
Commutation
Lattices
Parameters
Physics
Tetrahedra
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