Reciprocity theorems in the theory of representations of groups
A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
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A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
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A. O. Morris (1990)
Banach Center Publications
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S. Balcerzyk (1987)
Colloquium Mathematicae
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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.
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.
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...
Łukasz Garncarek (2014)
Colloquium Mathematicae
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Robert P. Boyer (2003)
Studia Mathematica
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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...
Jan Ambrosiewicz (2000)
Discussiones Mathematicae - General Algebra and Applications
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Let G be a group and Kₙ = {g ∈ G: o(g) = n}. It is prowed: (i) if F = ℝ, n ≥ 4, then PSL(2,F) = Kₙ²; (ii) if F = ℚ,ℝ, n = ∞, then PSL(2,F) = Kₙ²; (iii) if F = ℝ, then PSL(2,F) = K₃³; (iv) if F = ℚ,ℝ, then PSL(2,F) = K₂³ ∪ E, E ∉ K₂³, where E denotes the unit matrix; (v) if F = ℚ, then PSL(2,F) ≠ K₃³.
Nolan R. Wallach, Roe Goodman (1984)
Journal für die reine und angewandte Mathematik
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R. Jajte (1968)
Colloquium Mathematicae
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Larry Baggett (1988)
Colloquium Mathematicae
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Freydoon Shahidi (1995)
Inventiones mathematicae
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Gerald W. Schwarz (1978/79)
Inventiones mathematicae
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Yablan, Slavik (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Boya, Luis J. (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Sylvain E. Cappell, Julius L. Shaneson (1982)
Publications Mathématiques de l'IHÉS
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S. Lajos (1964)
Matematički Vesnik
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