Principal subspaces for the affine Lie algebras in types $D, E$ and $F$ (Q2084695)

scientific article; zbMATH DE number 7603331

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English	Principal subspaces for the affine Lie algebras in types $D, E$ and $F$	scientific article; zbMATH DE number 7603331

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title

Principal subspaces for the affine Lie algebras in types $D, E$ and $F$ (English)

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Journal of Algebraic Combinatorics

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publication date

18 October 2022

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full work available at URL

https://arxiv.org/abs/1902.10794

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zbMATH Keywords

principal subspaces

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combinatorial bases

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combinatorial identities

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quasi-particles

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vertex operator algebras

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affine Lie algebras

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MaRDI profile type

Publication

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cites work

Partitions and Durfee Dissection

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Fermionic characters and arbitrary highest-weight integrable ${\widehat{\mathfrak{sl}}}_{r+1}$-modules

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Bases of Feigin-Stoyanovsky's type subspaces for $C_\ell ^{(1)}$

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Combinatorial bases of principal subspaces for the affine Lie algebra of type $B_2^{(1)}$

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Quasi-particle bases of principal subspaces for the affine Lie algebras of types Bl(1) and Cl(1)

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Quasi-particle bases of principal subspaces of the affine Lie algebra of type G_2^{(1)}

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Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$

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On vertex operator realizations of Jack functions

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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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Presentations of principal subspaces of higher level standard $A_2^{(2)}$-modules

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THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

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Generalized vertex algebras and relative vertex operators

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

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On axiomatic approaches to vertex operator algebras and modules

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Basic representations of affine Lie algebras and dual resonance models

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Q3994993

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Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace

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Introduction to Lie Algebras and Representation Theory

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Quasi-particle fermionic formulas for $(k, 3)$-admissible configurations

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Q4040877

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

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The free generalized vertex algebras and generalized principal subspaces

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Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$

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Higher level vertex operators for $U_q \left( \widehat{\mathfrak {sl}}_2\right)$

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Commutative operators for double Yangian DY(sln)

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Lie algebraic approaches to classical partition identities

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Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

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The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities

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

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

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Structure of certain standard modules for $A_ n^{(1)}$ and the Rogers-Ramanujan identities

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Vertex-algebraic structure of principal subspaces of basic $D_4^{(3)}$-modules

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Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type $A_{2n-1}^{(2)}$, $D_n^{(2)}$, $E_6^{(2)}$

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Vertex operator construction of standard modules for $A_ n^{(1)}$

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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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Unitary representations of some infinite dimensional groups

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10801-022-01146-X

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Mathematics(1 entry)

mardi Publication:2084695

Principal subspaces for the affine Lie algebras in types \(D, E\) and \(F\) (Q2084695)

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Identifiers

Sitelinks

Mathematics(1 entry)