On classification of m-dimensional algebras

A constructive approach to the classification and invariance problems, with respect to basis changes, of the finite dimensional algebras is offered. A construction of an invariant open, dense (in the Zariski topology) subset of the space of structure constants of algebras is given. A classificati...

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Main Author:	Bekbaev, Ural
Format:	Conference or Workshop Item
Language:	English English English English
Published:	IOP Publishing 2017
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/7/56421.pdf http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf

id	iium-56421
recordtype	eprints
spelling	iium-564212019-08-18T06:24:15Z http://irep.iium.edu.my/56421/ On classification of m-dimensional algebras Bekbaev, Ural Q Science (General) QA Mathematics A constructive approach to the classification and invariance problems, with respect to basis changes, of the finite dimensional algebras is offered. A construction of an invariant open, dense (in the Zariski topology) subset of the space of structure constants of algebras is given. A classification of all algebras with structure constants from this dense set is given by providing canonical representatives of their orbits. A finite system of generators for the corresponding field of invariant rational functions of structure constants is shown. IOP Publishing 2017-04-03 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/56421/7/56421.pdf application/pdf en http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf application/pdf en http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf Bekbaev, Ural (2017) On classification of m-dimensional algebras. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012012/pdf 10.1088/1742-6596/819/1/012012
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English English
topic	Q Science (General) QA Mathematics
spellingShingle	Q Science (General) QA Mathematics Bekbaev, Ural On classification of m-dimensional algebras
description	A constructive approach to the classification and invariance problems, with respect to basis changes, of the finite dimensional algebras is offered. A construction of an invariant open, dense (in the Zariski topology) subset of the space of structure constants of algebras is given. A classification of all algebras with structure constants from this dense set is given by providing canonical representatives of their orbits. A finite system of generators for the corresponding field of invariant rational functions of structure constants is shown.
format	Conference or Workshop Item
author	Bekbaev, Ural
author_facet	Bekbaev, Ural
author_sort	Bekbaev, Ural
title	On classification of m-dimensional algebras
title_short	On classification of m-dimensional algebras
title_full	On classification of m-dimensional algebras
title_fullStr	On classification of m-dimensional algebras
title_full_unstemmed	On classification of m-dimensional algebras
title_sort	on classification of m-dimensional algebras
publisher	IOP Publishing
publishDate	2017
url	http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/ http://irep.iium.edu.my/56421/7/56421.pdf http://irep.iium.edu.my/56421/19/56421_On%20classification%20of%20m-dimensional%20algebras_SCOPUS.pdf http://irep.iium.edu.my/56421/20/56421_On%20classification%20of%20m-dimensional%20algebras.pdf http://irep.iium.edu.my/56421/31/56421%20On%20classification%20of%20m-dimensional%20algebras%20WOS.pdf
first_indexed	2023-09-18T21:19:36Z
last_indexed	2023-09-18T21:19:36Z
_version_	1777411792381673472

On classification of m-dimensional algebras

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