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

DOI10.1016/j.jpaa.2015.10.001zbMath1395.17059OpenAlexW2282288761MaRDI QIDQ899554

Corina Calinescu, Antun Milas, Michael Penn

Publication date: 30 December 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.10.001

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (10)

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 ⋮ Vertex-algebraic structure of principal subspaces of the basic modules for twisted affine Lie algebras of type \(A_{2n-1}^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) ⋮ Principal subspaces of basic modules for twisted affine Lie algebras, \(q\)-series multisums, and Nandi's identities ⋮ On some double Nahm sums of Zagier ⋮ Modularity of Nahm sums for the tadpole diagram ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Presentations of principal subspaces of higher level standard \(A_2^{(2)}\)-modules ⋮ Principal subspaces of twisted modules for certain lattice vertex operator algebras ⋮ Vertex algebraic construction of modules for twisted affine Lie algebras of type \(A_{2l}^{(2)}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial bases of principal subspaces for the affine Lie algebra of type \(B_2^{(1)}\)
• Nahm's conjecture: asymptotic computations and counterexamples
• Lattice vertex algebras and combinatorial bases: general case and \(W\)-algebras
• Vertex-algebraic structure of the principal subspaces of certain \(A_1^{(1)}\)-modules. II: Higher-level case
• The physics superselection principle in vertex operator algebra theory
• Functional models of the representations of current algebras and semi-infinite Schubert cells
• 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 \(A,D,E\)
• Rogers-Ramanujan-Slater type identities
• Rogers-Ramanujan type identities and nil-DAHA
• Graded dimensions of principal subspaces and modular Andrews–Gordon-type series
• Vertex-algebraic structure of principal subspaces of standard $A^{(2)}_2$-modules, I
• Dedekind's η-function and Rogers-Ramanujan identities
• The Dilogarithm Function
• Conformal Field Theory and Torsion Elements of the Bloch Group
• Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
• Calculus of twisted vertex operators
• VERTEX-ALGEBRAIC STRUCTURE OF THE PRINCIPAL SUBSPACES OF CERTAIN $A_{1}^{(1)}$-MODULES, I: LEVEL ONE CASE
• Lattice Vertex Superalgebras, I: Presentation of the Principal Subalgebra

This page was built for publication: Vertex algebraic structure of principal subspaces of basic \(A_{2n}^{(2)}\)-modules