𝐵𝑉 -Structure on the Hochschild Cohomology Algebra of Local Algebras of Semidihedral Type
https://doi.org/10.22405/2226-8383-2025-26-4-88-97
Abstract
We give a complete description of the 𝐵𝑉 -structure on the Hochschild cohomology for local algebras of semidihedral type over an algebraically closed field of characteristic 2. In Erdmann’s classification, these algebras are described by a parameter 𝑘. We consider the case of even parameter 𝑘 > 3. The methods of comparison morphisms and contracting homotopies are applied.
About the Authors
Alexandr Ivanovich Generalov
Saint Petersburg State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
Nikita Sergeevich Zhamkov
Saint Petersburg State University
Russian Federation
Russian Federation
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Review
For citations:
Generalov A.I., Zhamkov N.S. 𝐵𝑉 -Structure on the Hochschild Cohomology Algebra of Local Algebras of Semidihedral Type. Chebyshevskii Sbornik. 2025;26(4):88-97. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-4-88-97
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