Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2023.04.004