Representations of algebras. Tame and wild behavior (Q2170479)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations of algebras. Tame and wild behavior |
scientific article |
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Representations of algebras. Tame and wild behavior (English)
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5 September 2022
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Representations of algebras by J.-A. de la Peña provides an original book in algebra, covering topics like integral quadratic forms, lattices of ideals, Auslander-Reiten theory, Bass's theorems on semi-perfect rings, Galois coverings and smash products, Coxeter spectral analysis, Weyl groups, post-projective components, etc., applied to the representation theory of wide classes of associative algebras. This presents classical aspects of ring theory under a new perspective. Other important topics include the Brauer-Thrall conjectures, Drozd's theorem, and criteria to distinguish tame from wild algebras. This book is strongly recommended as a second graduate course in algebra, or as an introductory book for researchers in the field of representation theory of algebras.
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associative algebras
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hereditary algebras
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automorphism group of a graph
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Auslander-Reiten theory
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indecomposable modules
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tame algebra
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quasi-tilted algebras
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deformation
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tits quadratic form
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degeneration of algebras
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