Associative subalgebras of the Griess algebra and related topics

1996/07/09 by C. Dong, H. Li, Dong, C. +5 · 1 citation
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9607013

tex 17 pages, to appear in : Proc. of the Conference on the Monster and Lie algebras at The Ohio State University, May 1996

arxiv created 1996/07/09 · arxiv updated 2009/11/30

Abstract

It is shown how certain idempotents in the Griess algebra generate the discrete series representations for the Virasoro algebra inside the Frenkel-Lepowsky-Meurman's moonshine module vertex operator algebra. It is also shown that each Niemeier lattice determines (in many ways) certain maximal associative subalgebras of the Griess algebra.

Cited by

• Superconformal symmetry in a class of Schellekens theories

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