Decomposition of the diagonal action of on the coinvariant space of .
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Bergeron, F., Lamontagne, F. (2004)
Séminaire Lotharingien de Combinatoire [electronic only]
A. B. Dieker, J. Warren (2008)
Annales de l'I.H.P. Probabilités et statistiques
We find the transition kernels for four markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin–McGregor-type kernel. The resulting kernels all inherit the determinantal structure from the Karlin–McGregor formula, and have a similar form to Schütz’s kernel for the totally asymmetric simple exclusion process.
Fiedler, Bernd (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
Didier Arnal, Nadia Bel Baraka, Norman J. Wildberger (2006)
Annales mathématiques Blaise Pascal
In [6], there is a graphic description of any irreducible, finite dimensional module. This construction, called diamond representation is very simple and can be easily extended to the space of irreducible finite dimensional -modules.In the present work, we generalize this construction to . We show it is in fact a description of the reduced shape algebra, a quotient of the shape algebra of . The basis used in [6] is thus naturally parametrized with the so called quasi standard Young tableaux....
Benoît Collins, Hun Hee Lee, Piotr Śniady (2014)
Studia Mathematica
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Cameron, Naiomi, Killpatrick, Kendra (2006)
The Electronic Journal of Combinatorics [electronic only]
Carré, Christophe, Leclerc, Bernard (1993)
Séminaire Lotharingien de Combinatoire [electronic only]
van Leeuwen, Marc A.A. (2006)
The Electronic Journal of Combinatorics [electronic only]
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