Gerstenhaber algebra structure on the cohomology of a hom-associative algebra (Q2174843)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gerstenhaber algebra structure on the cohomology of a hom-associative algebra |
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Gerstenhaber algebra structure on the cohomology of a hom-associative algebra (English)
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27 April 2020
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This paper defines and studies a cup product on the cohomology of a hom-associative algebra. A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. The author proves that this structure, with the cup product with the degree-1 graded Lie bracket on the cohomology, becomes a Gerstenhaber algebra.
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Gerstenhaber algebra
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hom-algebra
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Hochschild cohomology
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cup-product
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