The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at .

Leclerc, Bernard; Thibon, Jean-Yves

Displaying similar documents to “The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at $q = 0$ .”

Universal Verma modules and the Misra-Miwa Fock space.

Ram, Arun, Tingley, Peter (2010)

International Journal of Mathematics and Mathematical Sciences

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A Littlewood-Richardson rule for evaluation representations of $U_{q} ({\hat{𝔰𝔩}}_{n})$ .

Leclerc, Bernard (2003)

Séminaire Lotharingien de Combinatoire [electronic only]

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Harmonic analysis on quantum spheres associated with representations of $U_{q} ({𝔰𝔬}_{N})$ and $q$ -jacobi polynomials

Tetsuya Sugitani (1995)

Compositio Mathematica

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Constructing canonical bases of quantized enveloping algebras.

de Graaf, Willem A. (2002)

Experimental Mathematics

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Bar-invariant bases of the quantum cluster algebra of type $A_{2}^{(2)}$

Xueqing Chen, Ming Ding, Jie Sheng (2011)

Czechoslovak Mathematical Journal

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We construct bar-invariant $ℤ [q^{\pm 1 / 2}]$ -bases of the quantum cluster algebra of the valued quiver $A_{2}^{(2)}$ , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.

A $U_{q} (s l (2))$ -representation with no quantum symmetric algebra

Olivia Rossi-Doria (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of $U_{q} (s l (2))$ that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.

The dynamical $U (n)$ quantum group.

Koelink, Erik, van Norden, Yvette (2006)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at q = 0 .”

Universal Verma modules and the Misra-Miwa Fock space.

A Littlewood-Richardson rule for evaluation representations of U q ( 𝔰𝔩 ^ n ) .

Harmonic analysis on quantum spheres associated with representations of U q ( 𝔰𝔬 N ) and q -jacobi polynomials

Constructing canonical bases of quantized enveloping algebras.

Bar-invariant bases of the quantum cluster algebra of type A 2 ( 2 )

A U q ⁢ s ⁢ l ⁢ 2 -representation with no quantum symmetric algebra

The dynamical U ( n ) quantum group.

Displaying similar documents to “The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at $q = 0$ .”

A Littlewood-Richardson rule for evaluation representations of $U_{q} ({\hat{𝔰𝔩}}_{n})$ .

Harmonic analysis on quantum spheres associated with representations of $U_{q} ({𝔰𝔬}_{N})$ and $q$ -jacobi polynomials

Bar-invariant bases of the quantum cluster algebra of type $A_{2}^{(2)}$

A $U_{q} (s l (2))$ -representation with no quantum symmetric algebra

The dynamical $U (n)$ quantum group.