(A,delta)-modules, Hochschild homology and higher derivations

Banerjee, Abhishek and Kour, Surjeet (2019) (A,delta)-modules, Hochschild homology and higher derivations. In: ANNALI DI MATEMATICA PURA ED APPLICATA, 198 (5). pp. 1781-1802.

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Abstract

In this paper, we develop the theory of modules over (A,delta), where A is an algebra and delta :A?A is a derivation. Our approach is heavily influenced by Lie derivative operators in noncommutative geometry, which make the Hochschild homologies HH.(A) of A into a module over (A,delta). We also consider modules over (A,Delta), where Delta={Delta n}n >= 0 is a higher derivation on A. Further, we obtain a Cartan homotopy formula for an arbitrary higher derivation on A.

Item Type:	Journal Article
Publication:	ANNALI DI MATEMATICA PURA ED APPLICATA
Publisher:	SPRINGER HEIDELBERG
Additional Information:	copyright to this article belongs to SPRINGER HEIDELBERG
Keywords:	A<mml:mo>; </mml:mo>delta-modules; Hochschild homology; Higher derivations; 13N15; 16W25
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	15 Nov 2019 05:45
Last Modified:	15 Nov 2019 05:45
URI:	http://eprints.iisc.ac.in/id/eprint/63899

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