交换微分分次代数之间映射的Hochschild上同调

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2022-01-01 DOI:10.1515/taa-2022-0119

O. Maphane, J. Gatsinzi

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引用次数: 0

摘要

摘要我们考虑交换微分分次代数之间的满射态射→ （B，d），其中V是有限维的，并且（B，d）是∧V上通过映射ξ的模。我们证明了Hochschild上同调HH*（∧V；B）可以根据正Γ-导数的分次向量空间来计算。此外，如果V是有限维的，则HH*（∧V；B）包含多项式代数。

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On the Hochschild cohomology of a map between commutative differential graded algebras

Abstract We consider a surjective morphism between commutative differential graded algebras ϕ: (∧V, d) → (B, d), where V is finite dimensional, and (B, d) is a module over ∧V via the mapping ϕ. We show that the Hochschild cohomology HH*(∧V; B) can be computed in terms of the graded vector space of positive ϕ-derivations. Moreover, if V is finite dimensional, then HH*(∧V; B) contains a polynomial algebra.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks