On a Koszul complex related to the principal subspace of the basic vacuum module for $A_1^{(1)}$ (Q2403977)

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English	On a Koszul complex related to the principal subspace of the basic vacuum module for $A_1^{(1)}$	scientific article

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scholarly article

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title

On a Koszul complex related to the principal subspace of the basic vacuum module for $A_1^{(1)}$ (English)

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author

Shashank Kanade

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published in

Journal of Pure and Applied Algebra

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publication date

12 September 2017

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zbMATH Keywords

principal subspaces

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bosonic characters

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Garland-Lepowsky resolution

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Rogers-Ramanujan identities

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jpaa.2017.04.005

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cites work

A trinomial analogue of Bailey's lemma and $N=2$ superconformal invariance

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Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(3)}$-modules

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VERTEX-ALGEBRAIC STRUCTURE OF THE PRINCIPAL SUBSPACES OF CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE

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Vertex-algebraic structure of the principal subspaces of certain $A_1^{(1)}$-modules. II: Higher-level case

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Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types $A,D,E$

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Vertex-algebraic structure of principal subspaces of standard $A^{(2)}_2$-modules, I

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Vertex algebraic structure of principal subspaces of basic $A_{2n}^{(2)}$-modules

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THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian

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Functional models of the representations of current algebras and semi-infinite Schubert cells

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Abelianization of the BGG resolution of representations of the Virasoro algebra

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Lie algebra homology and the Macdonald-Kac formulas

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On Stable Khovanov Homology of Torus Knots

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Introduction to vertex operator algebras and their representations

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Q3220720

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On the finitization of the Gordon identities

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Singular vectors in Verma modules over Kac-Moody algebras

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Annihilating ideals of standard modules of ${\mathfrak sl}(2,{\mathbb{C}})^\sim$ and combinatorial identities

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A BASIS OF THE BASIC $\mathfrak{sl} ({\bf 3}, {\mathbb C})^~$-MODULE

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Lattice vertex algebras and combinatorial bases: general case and $W$-algebras

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Q4464618

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Presentations of the principal subspaces of the higher-level standard $\widehat{\mathfrak{sl}(3)}$-modules

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Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules

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Khovanov homology of torus links

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Identifiers

zbMATH Open document ID

1427.17041

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DOI

10.1016/j.jpaa.2017.04.005

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2403977

On a Koszul complex related to the principal subspace of the basic vacuum module for \(A_1^{(1)}\) (Q2403977)

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Mathematics(1 entry)