Results 21 to 30 of about 70,034 (260)
Tensor product of Kraśkiewicz–Pragacz modules
Journal of Algebra, 2015 The study of Schubert polynomials is an important and interesting subject in algebraic combinatorics. One of the possible methods for studying Schubert polynomials is through the modules introduced by \textit{W. Kraskiewicz} and \textit{P. Pragacz} [C. R. Acad. Sci., Paris, Sér. I 304, 209--211 (1987; Zbl 0642.13011)].
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Twist deformations of module homomorphisms and connections [PDF]
, 2012 Let H be a Hopf algebra, A a left H-module algebra and V a left H-module A-bimodule. We study the behavior of the right A-linear endomorphisms of V under twist deformation.
Schenkel, Alexander
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On permutation-twisted free fermions and two conjectures [PDF]
, 2013 We conjecture that the category of permutation-twisted modules for a multi-fold tensor product vertex operator superalgebra and a cyclic permutation of even order is isomorphic to the category of parity-twisted modules for the underlying vertex operator ...
Katrina Barron, Nathan, Vander Werf
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Tensor Products of Kirillov–Reshetikhin Modules and Fusion Products [PDF]
International Mathematics Research Notices, 2016 We study the classical limit of a tensor product of Kirillov-Reshetikhin modules over a quantum loop algebra, and show that it is realized from the classical limits of the tensor factors using the notion of fusion products. In the process of the proof, we also give defining relations of the fusion product of the (graded) classical limits of Kirillov ...
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Axioms, 2015 The definition of Azumaya algebras over commutative rings \(R\) requires the tensor product of modules over \(R\) and the twist map for the tensor product of any two \(R\)-modules.
Bachuki Mesablishvili, Robert Wisbauer
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Tensor product weight modules over the Virasoro algebra
, 2013 The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [Z] in 1997. Since then the irreducibility problem for the tensor products has been open.
Chen, Hongjia +2 more
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Tensor products of Young modules
Journal of Algebra, 2012 Let \(k\) be a field of characteristic \(p\). For \(r\in\mathbb N\), let \(\Sigma_r\) be the symmetric group on \(r\) letters. Young modules for \(\Sigma_r\) are indexed by partitions of \(r\), and the classical Schur algebra can be exhibited as the endomorphism algebra of a direct sum of Young modules. The paper focusses on the decomposition of tensor
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, 2013 We show that subsingular vectors exist in Verma modules over W(2,2), and present a subquotient structure of these modules. We prove conditions for irreducibility of a tensor product of intermediate series module with the highest weight module.
Radobolja, Gordan
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Gauss decomposition of trigonometric R-matrices
, 1994 The general formula for the universal R-matrix for quantized nontwisted affine algebras by Khoroshkin and Tolstoy is applied for zero central charge highest weight modules of the quantized affine algebras.
Khoroshkin, Sergei +2 more
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Primary decomposition of torsion R[X]-modules
International Journal of Mathematics and Mathematical Sciences, 1994 This paper is concerned with studying hereditary properties of primary decompositions of torsion R[X]-modules M which are torsion free as R-modules. Specifically, if an R[X]-submodule of M is pure as an R-submodule, then the primary decomposition of M ...
William A. Adkins
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