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Weighted surface algebras

Abstract:

A finite-dimensional algebra A over an algebraically closed field K is called periodic if it is periodic under the action of the syzygy operator in the category of A-A-bimodules. The periodic algebras are self-injective and occurred naturally in the study of tame blocks of group algebras, actions of finite groups on spheres, hypersurface singularities of finite Cohen–Macaulay type, and Jacobian algebras of quivers with potentials. Recently, the tame periodic algebras of polynomial growth have...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jalgebra.2018.02.033

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science; Mathematical Institute
Oxford college:
Somerville College
Role:
Author
Publisher:
Elsevier
Journal:
Journal of Algebra More from this journal
Volume:
505
Pages:
490-558
Publication date:
2018-03-22
DOI:
EISSN:
1090-266X
ISSN:
0021-8693
Keywords:
Pubs id:
pubs:835399
UUID:
uuid:8908c3f6-3104-4f0e-be33-b55d5735f677
Local pid:
pubs:835399
Source identifiers:
835399
Deposit date:
2018-05-04

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