Quantum Galois theory for finite groups

DOI10.1215/S0012-7094-99-09720-XzbMath0977.17029arXivq-alg/9709041MaRDI QIDQ1974914

Akihide Hanaki, Masahiko Miyamoto, Daisuke Tambara

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9709041

zbMATH Keywords

vertex operator algebrafinite groupinvariant subalgebrasquantum Galois theorysubgroups of a nilpotent automorphism group

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (17)

Moonshine ⋮ Integrals, quantum Galois extensions, and the affineness criterion for quantum Yetter-Drinfel'd modules ⋮ Super orbifold theory ⋮ On orbifold theory ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Orbifold theory for vertex algebras and Galois correspondence ⋮ Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\). ⋮ \(S\)-matrix in orbifold theory ⋮ Unnamed Item ⋮ A generalization of twisted modules over vertex algebras ⋮ From Vertex Operator Algebras to Conformal Nets and Back ⋮ Vertex operator superalgebras and the 16-fold way ⋮ Projections in string theory and boundary states for Gepner models. ⋮ Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\) ⋮ Quantum Galois theory for compact Lie groups ⋮ Symmetry breaking boundaries. II: More structures; examples ⋮ Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

Cites Work

• On quantum Galois theory
• The operator algebra of orbifold models
• Vertex algebras, Kac-Moody algebras, and the Monster
• Unnamed Item
• Unnamed Item

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