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Classification Problems in the Representation Theory of Finite-Dimensional Algebras

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Computational Methods for Representations of Groups and Algebras

Part of the book series: Progress in Mathematics ((PM,volume 173))

Abstract

The aim of the representation theory of algebras is to understand the category Mod—A of modules over a given associative unital k-algebra A where k is a commutative ring. We will restrict ourselves to the case that k is a field and Ais finite-dimensional over k. Familiar examples for algebras of this kind are the group algebras kG for a finite group G or the factor algebras k[X]/I of the polynomial ring k[X] by a non-zero ideal I.

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Authors
  1. Peter Dräxler
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  2. Rainer Nörenberg
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Universitätsstr. 25, D-33615, Bielefeld, Germany

    P. Dräxler  & C. M. Ringel  & 

  2. Institut für Experimentelle Mathematik, Universität GH Essen, Ellernstr. 29, D-45326, Essen, Germany

    G. O. Michler

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© 1999 Springer Basel AG

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Dräxler, P., Nörenberg, R. (1999). Classification Problems in the Representation Theory of Finite-Dimensional Algebras. In: Dräxler, P., Ringel, C.M., Michler, G.O. (eds) Computational Methods for Representations of Groups and Algebras. Progress in Mathematics, vol 173. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8716-8_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8716-8_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9740-2

  • Online ISBN: 978-3-0348-8716-8

  • eBook Packages: Springer Book Archive

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