Simple weak modules for the fixed point subalgebra of the Heisenberg vertex operator algebra of rank $1$ by an automorphism of order $2$ and Whittaker vectors

DOI10.1090/proc/13767zbMath1421.17005arXiv1608.07890OpenAlexW2606686886MaRDI QIDQ5351776

Kenichiro Tanabe

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07890

zbMATH Keywords

vertex operator algebrasWhittaker vectorsweak modules

Mathematics Subject Classification ID

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

Related Items (8)

The Heisenberg-Virasoro Lie conformal superalgebra ⋮ The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1) ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ Orbifold theory for vertex algebras and Galois correspondence ⋮ Simple restricted modules for Neveu-Schwarz algebra ⋮ Simple weak modules for some subalgebras of the Heisenberg vertex algebra and Whittaker vectors ⋮ Simple Whittaker modules over free bosonic orbifold vertex operator algebras ⋮ On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras

Cites Work

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