Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies

نویسندگان

چکیده

We calculate the Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies of Taft Tp for any integer p>2 which is a nonquasi-triangular algebra. show that indeed zero cohomology Tp, as in all known quasi-triangular algebras. This example first computation Also, we find general formula with bijective antipode bar resolution reminiscent Gerstenhaber's original cohomology.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2022

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2021.106903