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Title
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Generalized characters for glider representations of groups
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Author
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Abstract
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| Glider representations can be defined for a finite algebra filtration FKG determined by a chain of subgroups 1 subset of G(1) subset of horizontal ellipsis subset of G(d) = G. In this paper we develop the generalized character theory for such glider representations. We give the generalization of Artin's theorem and define a generalized inproduct. For finite abelian groups G with chain 1 subset of G, we explicitly calculate the generalized character ring and compute its semisimple quotient. The papers ends with a discussion of the quaternion group as a first non-abelian example. |
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Language
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English
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Source (journal)
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Algebras and representation theory. - -
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Publication
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2020
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ISSN
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1386-923X
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DOI
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10.1007/S10468-018-09850-8
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Volume/pages
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23
:2
(2020)
, p. 303-326
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ISI
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000532158500006
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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