Projective representations of : ring structure and inductive formulae
P. Hoffman (1990)
Banach Center Publications
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P. Hoffman (1990)
Banach Center Publications
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Leonid F. Barannyk, Kamila Sobolewska (2003)
Colloquium Mathematicae
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Let G be a finite group, F a field of characteristic p with p||G|, and the twisted group algebra of the group G and the field F with a 2-cocycle λ ∈ Z²(G,F*). We give necessary and sufficient conditions for to be of finite representation type. We also introduce the concept of projective F-representation type for the group G (finite, infinite, mixed) and we exhibit finite groups of each type.
Leonid F. Barannyk (2010)
Colloquium Mathematicae
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Let G be a finite group, K a field of characteristic p > 0, and the twisted group algebra of G over K with a 2-cocycle λ ∈ Z²(G,K*). We give necessary and sufficient conditions for to be of semi-wild representation type in the sense of Drozd. We also introduce the concept of projective K-representation type for a finite group (tame, semi-wild, purely semi-wild) and we exhibit finite groups of each type.
A. Zalesskii (1990)
Banach Center Publications
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Camillo Trapani, Salvatore Triolo (2008)
Studia Mathematica
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Representations of a module over a *-algebra are considered and some related seminorms are constructed and studied, with the aim of finding bounded *-representations of .
Ivan Marin (2013)
Annales mathématiques Blaise Pascal
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This work presents an approach towards the representation theory of the braid groups . We focus on finite-dimensional representations over the field of Laurent series which can be obtained from representations of infinitesimal braids, with the help of Drinfeld associators. We set a dictionary between representation-theoretic properties of these two structures, and tools to describe the representations thus obtained. We give an explanation for the frequent apparition of unitary structures...
Tadeusz Józefiak (1990)
Banach Center Publications
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Peter Vassilev Danchev (2006)
Archivum Mathematicum
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It is proved that if is a pure -projective subgroup of the separable abelian -group for such that , then is -projective as well. This generalizes results due to Irwin-Snabb-Cutler (CommentṀathU̇nivṠtṖauli, 1986) and the author (Arch. Math. (Brno), 2005).
Peter Vassilev Danchev (2007)
Archivum Mathematicum
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It is proved that if is an abelian -group with a pure subgroup so that is at most countable and is either -totally projective or -summable, then is either -totally projective or -summable as well. Moreover, if in addition is nice in , then being either strongly -totally projective or strongly -summable implies that so is . This generalizes a classical result of Wallace (J. Algebra, 1971) for totally projective -groups as well as continues our recent investigations...
Leonid F. Barannyk, Dariusz Klein (2012)
Colloquium Mathematicae
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Let S be a commutative complete discrete valuation domain of positive characteristic p, S* the unit group of S, Ω a subgroup of S* and a finite group, where is a p-group and B is a p’-group. Denote by the twisted group algebra of G over S with a 2-cocycle λ ∈ Z²(G,S*). For Ω satisfying a specific condition, we give necessary and sufficient conditions for G to be of OTP projective (S,Ω)-representation type, in the sense that there exists a cocycle λ ∈ Z²(G,Ω) such that every indecomposable...
Andrzej Skowroński
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CONTENTSIntroduction............................................................................................................................................51. Cohen schemes.................................................................................................................................72. Projective abelian Hopf algebras......................................................................................................113. The structure of groups ..............................................................................174....
Michael Harris, Anthony Scholl (2001)
Journal of the European Mathematical Society
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We extend Prasad’s results on the existence of trilinear forms on representations of of a local field, by permitting one or more of the representations to be reducible principal series, with infinite-dimensional irreducible quotient. We apply this in a global setting to compute (unconditionally) the dimensions of the subspaces of motivic cohomology of the product of two modular curves constructed by Beilinson.