Extended Griess Algebras and Matsuo-Norton Trace Formulae

DOI10.1007/978-3-662-43831-2_4zbMath1344.17025arXiv1206.3380OpenAlexW1582862482MaRDI QIDQ2948647

Hiroshi Yamauchi

Publication date: 6 October 2015

Published in: Contributions in Mathematical and Computational Sciences, Symmetries and Groups in Contemporary Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3380

zbMATH Keywords

vertex operator algebrasfinite simple groupsVirasoro algebras

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Superalgebras (17A70) Finite simple groups and their classification (20D05)

Related Items (9)

Holomorphic integer graded vertex superalgebras ⋮ Design theory from the viewpoint of algebraic combinatorics ⋮ On a family of vertex operator superalgebras ⋮ Geometric realization of algebraic conformal field theories ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras ⋮ Lattices, vertex algebras, and modular categories ⋮ On the unitary structures of vertex operator superalgebras ⋮ Representation theory in chiral conformal field theory: from fields to observables

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