HD-QUANTUM VERTEX ALGEBRAS AND BICHARACTERS

DOI10.1142/S0219199709003624zbMath1233.17020arXiv0706.1528OpenAlexW2962748567MaRDI QIDQ5850772

Iana I. Anguelova, Maarten Bergvelt

Publication date: 15 January 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1528

zbMATH Keywords

bicharactersHall-Littlewood polynomialsquantum vertex algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (11)

Vertex operators and principal subspaces of level one for \(U_q(\widehat{\mathfrak{sl}}_2)\) ⋮ Chiral algebras, factorization algebras, and Borcherds's ``singular commutative rings approach to vertex algebras ⋮ Ding-Iohara algebras and quantum vertex algebras ⋮ Higher level vertex operators for \(U_q \left( \widehat{\mathfrak {sl}}_2\right)\) ⋮ Quantum vertex \(\mathbb F((T))\)-algebras and their modules ⋮ Twisted tensor products of nonlocal vertex algebras ⋮ A note on the zeroth products of Frenkel–Jing operators ⋮ \({\phi}\)-coordinated quasi-modules for quantum vertex algebras ⋮ Principal subspaces for quantum affine algebra \(U_q(A_n^{(1)})\) ⋮ \(N\)-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras ⋮ \({\hslash}\)-adic quantum vertex algebras and their modules

Cites Work

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• Nonlocal vertex algebras generated by formal vertex operators
• Vertex operators and Hall-Littlewood symmetric functions
• Quantization of Lie bialgebras. V: Quantum vertex operator algebras
• A new construction of vertex algebras and quasi-modules for vertex algebras.
• Vertex algebras, Kac-Moody algebras, and the Monster
• AXIOMATIC G₁-VERTEX ALGEBRAS
• CONSTRUCTING QUANTUM VERTEX ALGEBRAS

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