A Littlewood-Richardson rule for evaluation representations of .

Leclerc, Bernard

Displaying similar documents to “A Littlewood-Richardson rule for evaluation representations of $U_{q} ({\hat{𝔰𝔩}}_{n})$ .”

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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Diagram algebras, Hecke algebras and decomposition numbers at roots of unity

J. J. Graham, G. I. Lehrer (2003)

Annales scientifiques de l'École Normale Supérieure

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The 3-state Potts model and Rogers-Ramanujan series

Alex Feingold, Antun Milas (2013)

Open Mathematics

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We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A 2(2) -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10–17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185–206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W 3-algebra. ...

Filtrations and tilting modules

Henning Haahr Andersen (1997)

Annales scientifiques de l'École Normale Supérieure

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Composition-diamond lemma for modules

Yuqun Chen, Yongshan Chen, Chanyan Zhong (2010)

Czechoslovak Mathematical Journal

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We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra $s l_{2}$ , the Verma module over a Kac-Moody algebra, the...

Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier

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Let $𝔤$ be a reductive Lie algebra and let $𝔥$ be a Cartan subalgebra. A $𝔤$ -module $M$ is called a if and only if $M = \oplus_{λ} M_{λ}$ , where each weight space $M_{λ}$ is finite dimensional. The main result of the paper is the classification of all simple weight $𝔤$ -modules. Further, we show that their characters can be deduced from characters of simple modules in category $𝒪$ .

Combinatorial bases of modules for affine Lie algebra B 2(1)

Mirko Primc (2013)

Open Mathematics

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We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2(1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2(1) and the integrable highest weight module L(kΛ0) for A 1(1) have the same parametrization of combinatorial...

Displaying similar documents to “A Littlewood-Richardson rule for evaluation representations of U q ( 𝔰𝔩 ^ n ) .”

Universal Verma modules and the Misra-Miwa Fock space.

Diagram algebras, Hecke algebras and decomposition numbers at roots of unity

The 3-state Potts model and Rogers-Ramanujan series

Filtrations and tilting modules

Composition-diamond lemma for modules

Classification of irreducible weight modules

Combinatorial bases of modules for affine Lie algebra B 2(1)

Displaying similar documents to “A Littlewood-Richardson rule for evaluation representations of $U_{q} ({\hat{𝔰𝔩}}_{n})$ .”