paper

Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates

arXiv:2210.03491

Abstract

It is shown in the paper that each Hecke symmetry R with the R-symmetric algebra freely generated by 3 commuting elements is determined by a bivector and a symmetric bilinear form on a 3-dimensional vector space. A general formula for such Hecke symmetries is given and the equivalence classes are described.

plain tex, 14 pp