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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| Format: | Conference or Workshop Item |
| Language: | English English English English |
| Published: |
IOP Publishing
2017
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| Subjects: | |
| 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 |
| Summary: | 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. |
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