On the Deformation Theory of Structure Constants for Associative Algebras

An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with th...

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Main Author: B. G. Konopelchenko
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2010/389091
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author B. G. Konopelchenko
author_facet B. G. Konopelchenko
author_sort B. G. Konopelchenko
collection DOAJ
description An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.
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spelling doaj-art-d0e8d19257154271a6ca535fd7cb58cc2025-02-03T01:28:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/389091389091On the Deformation Theory of Structure Constants for Associative AlgebrasB. G. Konopelchenko0Dipartimento di Fisica, Universita del Salento and INFN, Sezione di Lecce, 73100 Lecce, ItalyAn algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.http://dx.doi.org/10.1155/2010/389091
spellingShingle B. G. Konopelchenko
On the Deformation Theory of Structure Constants for Associative Algebras
Advances in Mathematical Physics
title On the Deformation Theory of Structure Constants for Associative Algebras
title_full On the Deformation Theory of Structure Constants for Associative Algebras
title_fullStr On the Deformation Theory of Structure Constants for Associative Algebras
title_full_unstemmed On the Deformation Theory of Structure Constants for Associative Algebras
title_short On the Deformation Theory of Structure Constants for Associative Algebras
title_sort on the deformation theory of structure constants for associative algebras
url http://dx.doi.org/10.1155/2010/389091
work_keys_str_mv AT bgkonopelchenko onthedeformationtheoryofstructureconstantsforassociativealgebras