On classification of m-dimensional algebras

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6830/56421
Uncontrolled Keywords:	classification, m-dimensional algebras
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Associate Prof. Ural Bekbaev
Date Deposited:	25 Apr 2017 15:57
Last Modified:	18 Aug 2019 14:24
URI:	http://irep.iium.edu.my/id/eprint/56421

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