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Constructing Irreducible Representations of Finitely Presented Algebras

✍ Scribed by Edward S. Letzter

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 245 KB
Volume: 32
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.2001.0445

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✦ Synopsis

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.

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