Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)) (Q3024156)

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English	Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1))	scientific article

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title

Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)) (English)

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Journal of Mathematical Physics

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publication date

30 June 2005

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.1811791

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cites work

Young wall realization of crystal graphs for \(U_q(C_n^{(1)})\)

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Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)

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Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras

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CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRAS AND COMBINATORICS OF YOUNG WALLS

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FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM

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Fock space representations of the quantized universal enveloping algebras \(U_ q(C^{(1)}_ l)\), \(U_ q(A^{(2)}_{2l})\), and \(U_ q(D^{(2)}_{l+1})\)

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Crystalizing the q-analogue of universal enveloping algebras

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

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Hecke algebras at roots of unity and crystal bases of quantum affine algebras

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A SIMPLE ALGORITHM FOR COMPUTING THE GLOBAL CRYSTAL BASIS OF AN IRREDUCIBLE U<sub>q</sub>(sl<sub>n</sub>)-MODULE

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An algorithm for computing the global basis of an irreducible \(U_q(sp_{2n})\)-module

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Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)

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Fock space representations and crystal bases for \(C_{n}^{(1)}\)

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Identifiers

zbMATH Open document ID

1064.17012

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DOI

10.1063/1.1811791

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Mathematics Subject Classification ID

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mardi Publication:3024156