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Self-injective Cellular Algebras Whose Representation Type are Tame of Polynomial Growth

Authors
  • Ariki, S.1
  • Kase, R.2
  • Miyamoto, K.1
  • Wada, K.3
  • 1 Osaka University, 1-5 Yamadaoka, Suita, Osaka, 565-0871, Japan , Suita (Japan)
  • 2 Okayama University of Science, 1-1 Ridaicho, Kita-ku, Okayama-shi, 700-0005, Japan , Kita-ku (Japan)
  • 3 Shinshu University, Matsumoto, Asahi 3-1-1, 390-8621, Japan , Matsumoto (Japan)
Type
Published Article
Journal
Algebras and Representation Theory
Publisher
Springer Netherlands
Publication Date
Mar 12, 2019
Volume
23
Issue
3
Pages
833–871
Identifiers
DOI: 10.1007/s10468-019-09872-w
Source
Springer Nature
Keywords
License
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Abstract

We classify Morita equivalence classes of indecomposable self-injective cellular algebras which have polynomial growth representation type, assuming that the characteristic of the base field is different from two. This assumption on the characteristic is for the cellularity to be a Morita invariant property.

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