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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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. |
format | Article |
id | doaj-art-d0e8d19257154271a6ca535fd7cb58cc |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |