Displaying similar documents to “Projective representations of reflection groups”

Remarks to Głazek's results on n-ary groups

Wiesław A. Dudek (2007)

Discussiones Mathematicae - General Algebra and Applications

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This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.

Generalized quivers associated to reductive groups

Harm Derksen, Jerzy Weyman (2002)

Colloquium Mathematicae

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We generalize the definition of quiver representation to arbitrary reductive groups. The classical definition corresponds to the general linear group. We also show that for classical groups our definition gives symplectic and orthogonal representations of quivers with involution inverting the direction of arrows.

The groups of order at most 2000.

Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Representations of Polish groups and continuity

M. Cianfarani, J.-M. Paoli, P. Simonnet, J.-C. Tomasi (2014)

Studia Mathematica

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In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.