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Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras (Q3294645)

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Language	Label	Description	Also known as
English	Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras	scientific article

Statements

scholarly article

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Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras (English)

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Marijana Butorac

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Springer INdAM Series

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publication date

29 June 2020

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zbMATH Keywords

affine Lie algebra

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combinatorial basis

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principal subspace

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quasi-particle

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vertex operator algebra

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-32906-8_4

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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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Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 2 Standard Modules for

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

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

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

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

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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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INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$

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

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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 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 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 CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE

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

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

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THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

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Quasi-Particles, Conformal Field Theory, and <b>q</b>-Series

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Generalized vertex algebras and relative vertex operators

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Simple currents and extensions of vertex operator algebras

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

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The PBW filtration

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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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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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Character formulas for Feigin-Stoyanovsky's type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\sim}\)-modules

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Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\)

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

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The free generalized vertex algebras and generalized principal subspaces

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The intermediate vertex subalgebras of the lattice vertex operator algebras

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Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\)

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

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Introduction to vertex operator algebras and their representations

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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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Local systems of vertex operators, vertex superalgebras and modules

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Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities

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Lattice vertex algebras and combinatorial bases: general case and \(W\)-algebras

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

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Principal subspaces of twisted modules for certain lattice vertex operator algebras

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Combinatorial bases of modules for affine Lie algebra \(B_2^{(1)}\)

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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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Characters of Feigin-Stoyanovsky's type subspaces of level one modules for affine Lie algebras of types Al(1) and D4(1)

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Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for

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Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-32906-8_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3294645

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