The automorphism group of the Hamming code vertex operator algebra

DOI10.1006/jabr.1999.8255zbMath0978.17023OpenAlexW1995272140MaRDI QIDQ1570875

Atsushi Matsuo, Mika Matsuo

Publication date: 12 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8255

zbMATH Keywords

automorphism groupMathieu groupcode vertex operator algebraextended binary Hamming code

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (7)

Code algebras, axial algebras and VOAs ⋮ HIGHEST WEIGHT VECTORS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPE ⋮ The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots ⋮ Ising vectors and automorphism groups of commutant subalgebras related to root systems ⋮ Extended Griess Algebras and Matsuo-Norton Trace Formulae ⋮ The automorphism group of the -orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32 ⋮ Representations of Code Vertex Operator Superalgebras

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Representation theory of code vertex operator algebra
• Framed vertex operator algebras, codes and the moonshine module
• Axioms for a vertex algebra and the locality of quantum fields
• On the triality of the Hamming code vertex operator algebra
• Monstrous moonshine and monstrous Lie superalgebras
• Griess algebras and conformal vectors in vertex operator algebras
• Binary codes and vertex operator (super)algebras
• Vertex operator superalgebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• A new combinatorial approach to M₂₄
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