Hochschild Cohomology for Algebras of Semidihedral Type. VIII. The Family SD(2B)1
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DOI: 10.1007/s10958-019-04359-x
Abstract: The Hochschild cohomology groups for algebras of semidihedral type, that are contained in the family SD(2B)1 (from the famous K. Erdmann’s classification), are computed. In the calculation, a construction of the minimal bimodule resolution for… read more here.
Keywords: semidihedral type; algebras semidihedral; family; hochschild cohomology ... See more keywords
Hochschild cohomology and deformation quantization of affine toric varieties
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DOI: 10.1016/j.jalgebra.2018.03.016
Abstract: For an affine toric variety $\mathrm{Spec}(A)$, we give a convex geometric description of the Hodge decomposition of its Hochschild cohomology. Under certain assumptions we compute the dimensions of the Hodge summands $T^1_{(i)}(A)$, generalizing the existing… read more here.
Keywords: affine toric; deformation quantization; affine; hochschild cohomology ... See more keywords
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
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DOI: 10.1063/5.0146223
Abstract: In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal… read more here.
Keywords: finite modules; coefficients finite; conformal algebra; hochschild cohomology ... See more keywords
The Batalin–Vilkovisky Structure on the Tate–Hochschild Cohomology Ring of a Group Algebra
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DOI: 10.1093/imrn/rnz015
Abstract: We determine the Batalin–Vilkovisky structure on the Tate–Hochschild cohomology of the group algebra $kG$ of a finite group $G$ in terms of the additive decomposition. In particular, we show that the Tate cohomology of $G$… read more here.
Keywords: tate; hochschild cohomology; batalin vilkovisky; group ... See more keywords
Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃
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DOI: 10.1142/s0219498821500183
Abstract: In this paper, we compute the dimension of the Hochschild cohomology groups of any [Formula: see text]-cluster tilted algebra of type [Formula: see text]. Moreover, we give conditions on the bounded quiver of an [Formula:… read more here.
Keywords: formula see; hochschild cohomology; cluster tilted; see text ... See more keywords
G-Algebra Structure on the Higher Order Hochschild Cohomology HS2∗(A,A)
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DOI: 10.1142/s1005386722000098
Abstract: We present a deformation theory associated to the higher Hochschild cohomology [Formula: see text]. We also study a [Formula: see text]-algebra structure associated to this deformation theory. read more here.
Keywords: hochschild cohomology; structure higher; algebra structure;