Journal of the Mathematical Society of Japan

3-transposition groups of symplectic type and vertex operator algebras

Atsushi MATSUO

Full-text: Open access

Abstract

The 3-transposition groups that act on vertex operator algebras in the way described by Miyamoto in [Mi] are classified under the assumption that the group is centerfree and the VOA carries a positive-definite invariant Hermitian form.

Article information

Source
J. Math. Soc. Japan, Volume 57, Number 3 (2005), 639-649.

Dates
First available in Project Euclid: 14 September 2006

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1158241926

Digital Object Identifier
doi:10.2969/jmsj/1158241926

Mathematical Reviews number (MathSciNet)
MR2139725

Zentralblatt MATH identifier
1135.17305

Subjects
Primary: 51E30: Other finite incidence structures [See also 05B30]
Secondary: 17B69: Vertex operators; vertex operator algebras and related structures

Keywords
3-transposition group Fischer space vertex operator algebra

Citation

MATSUO, Atsushi. 3-transposition groups of symplectic type and vertex operator algebras. J. Math. Soc. Japan 57 (2005), no. 3, 639--649. doi:10.2969/jmsj/1158241926. https://projecteuclid.org/euclid.jmsj/1158241926


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