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Littlewood identity and crystal bases (Q424566)

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Language	Label	Description	Also known as
English	Littlewood identity and crystal bases	scientific article

Statements

scholarly article

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Littlewood identity and crystal bases (English)

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zbMATH Open document ID

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10.1016/j.aim.2012.02.010

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Advances in Mathematics

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publication date

1 June 2012

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full work available at URL

https://arxiv.org/abs/1106.5286

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

crystal base

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Littlewood

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Richardson coefficient

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Lie superalgebra

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MaRDI profile type

MaRDI publication profile

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Tensor product representations for orthosymplectic Lie superalgebras

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Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras

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Tensor product multiplicities, canonical and totally positive varieties

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Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)

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Kostant homology formulas for oscillator modules of Lie superalgebras

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Irreducible characters of general linear superalgebra and super duality

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Super duality and irreducible characters of ortho-symplectic Lie superalgebras

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Brundan-Kazhdan-Lusztig and super duality conjectures

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Super duality and Kazhdan-Lusztig polynomials

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Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras.

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Hilbert series, Howe duality and branching for classical groups

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Stable branching rules for classical symmetric pairs

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Lie superalgebras

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Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules

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On crystal bases of the \(q\)-analogue of universal enveloping algebras

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The crystal base and Littelmann's refined Demazure character formula

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Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras

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Modification Rules and Products of Irreducible Representations of the Unitary, Orthogonal, and Symplectic Groups

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Permutations, matrices, and generalized Young tableaux

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On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters

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Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)

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Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank

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Identities for classical group characters of nearly rectangular shape

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Demazure crystals of generalized Verma modules and a flagged RSK correspondence

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Crystal bases of modified quantized enveloping algebras and a double RSK correspondence

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A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras

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Paths and root operators in representation theory

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On invariant theory under restricted groups

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Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras

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Applications of minor summation formulas to rectangular-shaped representations of classical groups

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Young tableaux, Gelfand patterns, and branching rules for classical groups

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Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley

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Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)

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THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$

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Nonintersecting paths, pfaffians, and plane partitions

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Hall-Littlewood Functions, Plane Partitions, and the Rogers-Ramanujan Identities

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Orthogonal tableaux and an insertion algorithm for \(SO(2n+1)\)

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On Schensted's construction and the multiplication of Schur functions

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DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS

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Mathematics(1 entry)

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