2006/08/29 by Shinya Sakuma, Sakuma, Shinya · 1 citation
Engineering · Mathematics · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA) #graph theory and CDMA systems #math.GR #math.QA #msc:17B69
paper · pdf · doi:10.48550/arxiv.math/0608709
16 pages
arxiv created 2006/08/29 · openalex publication_date 2006/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the subalgebra generated by two Ising vectors in the Griess algebra of a vertex operator algebra. We show that the structure of it is uniquely determined by some inner products of Ising vectors. We prove that the order of the product of two τ-involutions is less than or equal to 6 and we determine the inner product of two Ising vectors.