Journal article

On the stable module category of a self-injective algebra

Abstract:: ABSTRACT. Let A be a finite-dimensional self-injective algebra. We study the dimensions of spaces of stable homomorphisms between indecomposable Amodules which belong to Auslander-Reiten components of the form ZAx, or ZAao/(Tk). The results are applied to representations of finite groups over fields of prime characteristic, especially blocks of wild representation type. ©2000 American Mathematical Society.

Publication status:: Published

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APA Style

Erdmann, K., & Kerner, O. (2000). On the stable module category of a self-injective algebra. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 352(5), 2389–2405.

MLA Style

Erdmann, K., and O. Kerner. “On the Stable Module Category of a Self-Injective Algebra.” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 352, no. 5, 2000, pp. 2389–405.

Chicago Style

Erdmann, K, and O Kerner. 2000. “On the Stable Module Category of a Self-Injective Algebra.” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 352 (5): 2389–2405.
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Publisher copy:: 10.1090/S0002-9947-00-02232-7

Authors

+ Erdmann, K More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Kerner, O More by this author

Role:: Author

Journal:: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY More from this journal
Volume:: 352
Issue:: 5
Pages:: 2389-2405
Publication date:: 2000-01-01
DOI:: 10.1090/S0002-9947-00-02232-7
ISSN:: 0002-9947

Language:: English
Keywords:: endo-trivial modules of p-group algebras

stable category of finite-dimensional self-injective algebras

quasi-serial Auslander-Reiten components

blocks of wild type
Pubs id:: pubs:3828
UUID:: uuid:7d704911-ef27-489e-bd86-48a1991899d8
Local pid:: pubs:3828
Source identifiers:: 3828
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2000

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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