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Constructing irreducible representations of finitely presented algebras

Letzter, ES
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Journal Article
Date
2001-01-01
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DOI
10.1006/jsco.2001.0445
Abstract
We describe an algorithmic test, using the "standard polynomial identity" (and elementary computational commutative algebra), for determining whether or not a finitely presented associative algebra has an irreducible n-dimensional representation. When n-dimensional irreducible representations do exist, our proposed procedure can (in principle) produce explicit constructions. © 2001 Academic Press.
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Elsevier BV
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Journal of Symbolic Computation
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