Entwining tetrahedron maps

Autor: Pavlos Kassotakis
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100949- (2024)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2024.100949
Popis: We present three non-equivalent procedures to obtain entwining (non-constant) tetrahedron maps. Given a tetrahedron map, the first procedure incorporates its underlying symmetry group. With the second procedure we obtain several classes of entwining tetrahedron maps by considering certain compositions of pentagon with reverse-pentagon maps which satisfy certain compatibility relations the so-called ten-term relations. Using the third procedure, provided that a given tetrahedron map admits at least one companion map (partial inverse), we obtain entwining set theoretical solutions of the tetrahedron equation.
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