Analysis in matrix space and Speh's representations.
Siddhartha Sahi, Elias M. Stein (1990)
Inventiones mathematicae
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Siddhartha Sahi, Elias M. Stein (1990)
Inventiones mathematicae
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Jian-Shu Li (1989)
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G. Lusztig (1977)
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H. M. Srivastava, Hirofumi Tsumura (2001)
Acta Arithmetica
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Goro Shimura (1984)
Inventiones mathematicae
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Vinay V. Deodhar (1980)
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K. BICHTELER (1968/69)
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A.-M. Aubert (1991)
Inventiones mathematicae
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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.
R. Hotta, T.A. Springer (1977)
Inventiones mathematicae
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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...