Twisted Modules and Pseudo-endomorphisms

DOI10.1142/S1005386712000156zbMath1262.17015arXiv1004.0864OpenAlexW2964108503MaRDI QIDQ2883145

Haisheng Li

Publication date: 11 May 2012

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0864

zbMATH Keywords

vertex operator algebrastwisted modulespseudo-derivationscontragredient modulespseudo-endomorphisms

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (2)

Combinatorial bases of standard modules of twisted affine Lie algebras in types and : rectangular highest weights ⋮ Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels

Cites Work

• Generalized twisted modules associated to general automorphisms of a vertex operator algebra
• On vertex algebras and their modules associated with even lattices
• Twisted modules for quantum vertex algebras
• Lattice construction of logarithmic modules for certain vertex algebras
• Extension of vertex operator algebras by a self-dual simple module
• Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)
• The physics superselection principle in vertex operator algebra theory
• Twisted representations of vertex operator algebras
• Quantization of Lie bialgebras. V: Quantum vertex operator algebras
• Superselection sectors with braid group statistics and exchange algebras
• Simple currents and extensions of vertex operator algebras
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS
• An Algebraic Approach to Quantum Field Theory

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