# Intertwiners of U'qï¼ˆsl(2)ï¼‰-representations and the vector-valued big q-Jacobi transform

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Four tensor products of evaluation modules of the quantum affine algebra [formula] obtained from the negative and positive series, the complementary and the strange series representations are investigated. Linear operators R(z) satisfying the intertwining property on finite linear combinations...

- Representations of Operators on Certain Function Spaces and Operator Matrices. Yilmaz, Yilmaz // Bulletin of the Malaysian Mathematical Sciences Society;2009, Vol. 32 Issue 2, p151
Continuous linear operators from â„“1 (A,X) and c0 (A,X) into Î» (A,X), Î» = â„“1, â„“âˆž or c0, for a normed space X are investigated. It is shown that such an operator has an operator matrix form whenever A is the set of positive integers.

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We construct the bosonization of the Fock space FâŠ—Â½ of a single neutral fermion by using a 2-point local Heisenberg field. We decompose FâŠ—Â½ as a direct sum of irre-ducible highest weight modules for the Heisenberg algebra HZ, and thus we show that under the Heisenberg HZ action...

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We study a probability measure on the integral dominant weights in the decomposition of the Nth tensor power of the spinor representation of the Lie algebra so(2n + 1). The probability of a dominant weight Î» is defined as the dimension of the irreducible component of Î» divided by the total...

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The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [A class of representations over the Virasoro algebra, J. Algebra 190 (1997) 1â€“10]. Since then the irreducibility problem for the tensor products has been open....

- MODULES AND MORITA THEOREM FOR OPERADS. Kapranov, M.; Manin, Yu. // American Journal of Mathematics;Oct2001, Vol. 123 Issue 5, p811
Discusses the equivalence of different modules and Morita Theorem for operads. Considerations for determining the equivalence of linear operads P and Q Morita; Assessment of modules over operads; Comparison of theorem between algebras over the sheaf of linear differential operators.

- APROXIMAREA ULTRA-AMENABILITÄ‚Å¢II ÃŽN ALGEBRA BANACH. Mewomo, O. T.; Popoola, B. A. // Annals of 'Constantin Brancusi' University of Targu-Jiu. Enginee;2009, Issue 2, p189
The notion of approximate ultraamenability in Banach algebras is introduced. General theory is developed for this notion. In particular, we show that the projective tensor product between the Banach algebra A and B (A âŠ—Â¯ B) is not approximately ultra-amenable whenever A is not...

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By bounded vector-valued functions and block matrix representations of Hankel operators, we completely characterize the hyponormality of Toeplitz operators on the Hardy space of the polydisk.

- A Geometric Proof of Calibration. Mannor, Shie; Stoltz, Gilles // Mathematics of Operations Research;Nov2010, Vol. 35 Issue 4, p721
We provide yet another proof of the existence of calibrated forecasters; it has two merits. First, it is valid for an arbitrary finite number of outcomes. Second, it is short and simple and it follows from a direct application of Blackwell's approachability theorem to a carefully chosen...