PI-varieties associated to full quivers of representations of algebras

Alexei Belov-Kanel; Louis H. Rowen; Uzi Vishne

doi:https://doi.org/10.1090/S0002-9947-2012-05709-6

PI-varieties associated to full quivers of representations of algebras

Alexei Belov-Kanel, Louis H. Rowen, Uzi Vishne

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

In an earlier paper, we introduced the notion of full quivers of representations of algebras, which are more explicit than quivers of algebras. Here, we consider full quivers (as well as pseudo-quivers) as a combinatoric tool in order to describe PI-varieties of algebras. Each full quiver is naturally associated to a polynomial that encapsulates trace-like properties of the underlying algebra.

Original language	English
Pages (from-to)	2681-2722
Number of pages	42
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-2012-05709-6
State	Published - 2013

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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https://doi.org/10.1090/S0002-9947-2012-05709-6

Cite this

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abstract = "In an earlier paper, we introduced the notion of full quivers of representations of algebras, which are more explicit than quivers of algebras. Here, we consider full quivers (as well as pseudo-quivers) as a combinatoric tool in order to describe PI-varieties of algebras. Each full quiver is naturally associated to a polynomial that encapsulates trace-like properties of the underlying algebra.",

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PI-varieties associated to full quivers of representations of algebras

Abstract

All Science Journal Classification (ASJC) codes

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