The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
From MaRDI portal
Publication:874908
DOI10.1007/s11139-006-0150-7zbMath1166.17009arXivmath/0310080OpenAlexW2962941324MaRDI QIDQ874908
Antun Milas, Stefano Capparelli, James Lepowsky
Publication date: 10 April 2007
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0310080
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Difference equations, scaling ((q)-differences) (39A13)
Related Items
Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\), Ghost series and a motivated proof of the Andrews-Bressoud identities, A motivated proof of the Göllnitz-Gordon-Andrews identities, Combinatorial bases of Feigin-Stoyanovsky's type subspaces of higher-level standard \(\tilde {\mathfrak {sl}} (\ell +1, \mathbb C)\)-modules, On a Koszul complex related to the principal subspace of the basic vacuum module for \(A_1^{(1)}\), Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules, Some remarks on associated varieties of vertex operator superalgebras, Principal subspaces of higher-level standard $\widehat{\mathfrak{sl}(n)}$-modules, A motivated proof of Gordon's identities, Principal subspaces of higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules, Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\), Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\), Combinatorial bases of modules for affine Lie algebra \(B_2^{(1)}\), The 𝐴₂ Andrews–Gordon identities and cylindric partitions, Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities, Bases of Feigin-Stoyanovsky's type subspaces for \(C_\ell ^{(1)}\), Quasi-particle fermionic formulas for \((k, 3)\)-admissible configurations, Jet schemes, quantum dilogarithm and Feigin-Stoyanovsky's principal subspaces, Character formulas for Feigin-Stoyanovsky's type subspaces of standard \(\mathfrak{sl}(3, \mathbb{C})^{\sim}\)-modules, INTERTWINING VERTEX OPERATORS AND CERTAIN REPRESENTATIONS OF $\widehat{\mathfrak{sl}(n)}$, A combinatorial proof and refinement of a partition identity of Siladić, The intermediate vertex subalgebras of the lattice vertex operator algebras, Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case, VERTEX-ALGEBRAIC STRUCTURE OF THE PRINCIPAL SUBSPACES OF CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE, Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras, Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras, Looking for a new version of Gordon's identities, Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 2 Standard Modules for, Lattice Vertex Superalgebras, I: Presentation of the Principal Subalgebra, Presentations of the principal subspaces of the higher-level standard \(\widehat{\mathfrak{sl}(3)}\)-modules, Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types \(A,D,E\), Combinatorial Bases of Feigin–Stoyanovsky's Type Subspaces of Level 1 Standard Modules for, Presentations of principal subspaces of higher level standard \(A_2^{(2)}\)-modules, Recurrence relations for characters of affine Lie algebra \(A_{\ell}^{(1)}\), The free generalized vertex algebras and generalized principal subspaces, Principal subspaces of twisted modules for certain lattice vertex operator algebras, Principal subspaces for the affine Lie algebras in types \(D, E\) and \(F\), Vertex-algebraic structure of principal subspaces of standard $A^{(2)}_2$-modules, I
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalization of the Rogers-Ramanujan identities for all moduli
- The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
- The structure of standard modules. II: The case \(A_ 1^{(1)}\), principal gradation
- Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
- Basic representations of affine Lie algebras and dual resonance models
- Unitary representations of some infinite dimensional groups
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Determining fusion rules by \(A(V)\)-modules and bimodules
- Generalized vertex algebras and relative vertex operators
- Introduction to vertex operator algebras and their representations
- Combinatorics of the \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants: loop Heisenberg modules and recursion
- Weil representation and norms of Gaussian operators
- Local systems of vertex operators, vertex superalgebras and modules
- Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
- A Combinatorial Generalization of the Rogers-Ramanujan Identities
- Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁
- Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities
- THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS
- An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
- On axiomatic approaches to vertex operator algebras and modules
- An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
- Partition theorems related to the Rogers-Ramanujan identities
- Some new partition theorems
- Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants
- On the finitization of the Gordon identities
