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

DOI10.3336/gm.51.1.05zbMath1392.17019arXiv1505.00450OpenAlexW2963006588MaRDI QIDQ3185963

Marijana Butorac

Publication date: 8 August 2016

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00450

zbMATH Keywords

vertex operator algebrasaffine Lie algebrasquasi-particle basesprincipal subspaces

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)

Related Items (12)

Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Commutative operators for double Yangian DY(sln) ⋮ Vertex-algebraic structure of principal subspaces of basic \(D_4^{(3)}\)-modules ⋮ Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\) ⋮ 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 standard modules of twisted affine Lie algebras in types and : rectangular highest weights ⋮ A note on principal subspaces of the affine Lie algebras in types Bl(1),Cl(1),F4(1) and G2(1) ⋮ Quasi-particle Bases of Principal Subspaces of Affine Lie Algebras ⋮ Presentations of principal subspaces of higher level standard \(A_2^{(2)}\)-modules ⋮ Parafermionic bases of standard modules for affine Lie algebras ⋮ Principal subspaces of twisted modules for certain lattice vertex operator algebras ⋮ Principal subspaces for the affine Lie algebras in types \(D, E\) and \(F\)

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