arXiv:1201.3411 Abstract | arXiv Analytics

arXiv:1201.3411 [math.RT]Abstract References Reviews Resources

Integral forms in vertex operator algebras which are invariant under finite groups

Published 2012-01-17Version 1

For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA which is invariant under the Monster, and examples in other lattice type VOAs.

Comments: Submitted

Categories: math.RT, math.GR, math.RA

Keywords: vertex operator algebras, finite group, positive definite integral form invariant, lattice type voas

Related articles: Most relevant | Search more

arXiv:1512.02445 [math.RT] (Published 2015-12-08)

Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II

David Maslen, Daniel N. Rockmore, Sarah Wolff

arXiv:math/9610218 [math.RT] (Published 1996-10-18)

Certain Applications of the Burnside Rings and Ghost Rings in the Representation Theory of Finite Groups (II)

K. K. Nwabueze, F. Van Oystaeyen

arXiv:1310.3647 [math.RT] (Published 2013-10-14, updated 2014-10-09)

Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups