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Some Infinite-Dimensional Representations of Certain Coxeter Groups
A Coxeter group admits infinite-dimensional irreducible complex representations if and only if it is not finite or affine. In this paper, we provide...
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Linear representations of fundamental groups of Klein surfaces derived from spinor representations of Clifford algebras
We study actions of multiplicative subgroups of Clifford algebras on Riemann surfaces. We show that every Klein surface of algebraic genus greater...
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On Representations of Finite Groups
When groups were discovered, during the XIXth century, there were no “abstract groups” (like “a set endowed with a law which is associative, etc.”)....
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Some Remarks on Projective Representations of Compact Groups and Frames
In this paper, we study continuous frames with symmetries from projective representations of compact groups. In particular, we study maximal spanning...
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Dual Integrable Representations on Locally Compact Groups
Studies of various reproducing function systems emphasized the role of translations and the Fourier periodization function. These influenced the...
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On Representations of Groups and Algebras in Spaces with Indefinite Metric
The paper contains a survey of known results on the structure of J -symmetric operator algebras in Pontryagin and Krein spaces, as well as on...
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Differential Operator Approach to ıquantum Groups and Their Oscillator Representations
For a quasi-split Satake diagram, we define a modified q -Weyl algebra, and show that there is an algebra homomorphism between it and the...
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Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
AbstractNon-isomorphic direct decompositions of torsion-free Abelian groups are reflected in their endomorphism ring decompositions which admit...
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Representations of Finite Groups
In mathematics and physics, the notion of a group representation is fundamental. The idea is to study the different ways that groups can act on...
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Special Unipotent Representations of Simple Linear Lie Groups of Type A
Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special...
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Solvable Lie Groups with Factor Regular Representations
We present an intrinsic characterization of the solvable Lie groups whose regular representation is a factor representation. The von Neumann algebras...
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Representations of Finite Groups by Posets of Small Height
We characterize the finite groups as the automorphism groups of the finite height one posets with at most four orbits. We also prove that for each
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Irreducible representations of Hopf algebras over dihedral groups
We calculate all irreducible representations over a subfamily of pointed Hopf algebras with group-likes the dihedral group analyzing the possible...
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Representations of Compact Groups
In this chapter, we shall extend to compact topological groups many of the properties proved in the case of finite groups. Some properties will be...
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Partial and Global Representations of Finite Groups
Given a subgroup H of a finite group G , we begin a systematic study of the partial representations of G that restrict to global representations of H ....
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Representations of General Linear Groups in the Verlinde Category
In this article, we construct affine group schemes G L ( X ) where X is any object in the Verlinde category in characteristic p and classify their...