Equivariant Hochschild cohomology

In this thesis our goal is to develop the equivariant version of Hochschild cohomology. In the equivariant world there is given a group G which acts on objects. First naive object which can be considered is a G-algebra, that is, an associative algebra A on which G acts via algebra automorphisms. In...

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Main Author: Koam, Ali Nasser Ali
Other Authors: Pirashvili, Teimuraz
Published: University of Leicester 2016
Subjects:
514
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.696147
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spelling ndltd-bl.uk-oai-ethos.bl.uk-6961472018-04-04T03:30:56ZEquivariant Hochschild cohomologyKoam, Ali Nasser AliPirashvili, Teimuraz2016In this thesis our goal is to develop the equivariant version of Hochschild cohomology. In the equivariant world there is given a group G which acts on objects. First naive object which can be considered is a G-algebra, that is, an associative algebra A on which G acts via algebra automorphisms. In our work we consider two more general situations. In the first case we develop a cohomology theory for oriented algebras and in the second case we develop a cohomology theory for Green functors.514University of Leicesterhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.696147http://hdl.handle.net/2381/38502Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 514
spellingShingle 514
Koam, Ali Nasser Ali
Equivariant Hochschild cohomology
description In this thesis our goal is to develop the equivariant version of Hochschild cohomology. In the equivariant world there is given a group G which acts on objects. First naive object which can be considered is a G-algebra, that is, an associative algebra A on which G acts via algebra automorphisms. In our work we consider two more general situations. In the first case we develop a cohomology theory for oriented algebras and in the second case we develop a cohomology theory for Green functors.
author2 Pirashvili, Teimuraz
author_facet Pirashvili, Teimuraz
Koam, Ali Nasser Ali
author Koam, Ali Nasser Ali
author_sort Koam, Ali Nasser Ali
title Equivariant Hochschild cohomology
title_short Equivariant Hochschild cohomology
title_full Equivariant Hochschild cohomology
title_fullStr Equivariant Hochschild cohomology
title_full_unstemmed Equivariant Hochschild cohomology
title_sort equivariant hochschild cohomology
publisher University of Leicester
publishDate 2016
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.696147
work_keys_str_mv AT koamalinasserali equivarianthochschildcohomology
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