Results 21 to 30 of about 47 (42)
Crystal graphs of irreducible $\mathcal{U}_v({\widehat{\mathfrak{sl}}_e})$-modules of level two and Uglov bipartitions [PDF]
, 2008 International audienceWe give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions).
Jacon, Nicolas
core +2 more sources
Vector partition function and representation theory [PDF]
, 2005 Accepted for software demonstration during FPSAC 2005 (Taormina, Italy). 12 pagesWe apply some recent developments of Baldoni-Beck-Cochet-Vergne on vector partition function, to Kostant's and Steinberg's formulae, for classical Lie algebras $A_r$, $B_r$,
Cochet, Charles
core +1 more source
Symplectic Killing spinors [PDF]
, 1998 summary:Let $(M,\omega )$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $\nabla$.
Gelfand, Israel +3 more
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Semicanonical bases and preprojective algebras II: A multiplication formula [PDF]
, 2007 21 pages.International audienceLet $n$ be a maximal nilpotent subalgebra of a complex simple Lie algebra of type $A,D,E$. Lusztig has introduced a basis of U(n) called the semicanonical basis, whose elements can be seen as certain constructible functions
Schröer, Jan +2 more
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JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras. [PDF]
, 2004 International audienceThis paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum ...
Jacon, Nicolas
core
Quivers of type A, flag varieties and representation theory [PDF]
, 2004 25 pages, corrected (and added) references, final versionA short informal survey on the topics listed in the title.
Schiffmann, Olivier
core
Familles de caractères de groupes de réflexions complexes [PDF]
, 2003 In French. Final version, to appear in "Representation Theory"Nous étudions certains types de blocs d'algèbres de Hecke associéesaux groupes de réflexions complexes qui généralisent les famillesde caractères définies par Lusztig pour les groupes de Weyl ...
Malle, Gunter, Rouquier, Raphaël
core
Quantised $\mathfrak{sl}_2$-differential algebras [PDF]
summary:We propose a definition of a quantised ${\mathfrak{sl}}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of ${\mathfrak{sl}}_2 ...
Pandžić, Pavle, Krutov, Andrey
core +1 more source
Some of the next articles are maybe not open access.
On Whittaker vectors and representation theory
Inventiones Mathematicae, 1978Bertram Kostant, Kostant Bertram
exaly