Simple conformal superalgebras of finite growth

Details Simple conformal superalgebras of finite growth Simple conformal superalgebras of finite growth

1999-11-24

arxiv.org/abs/math/9911190v1

Mathematics

Quantum Algebra

40pages, Latex; To appear in Algebra Colloquium

Scientific paper

In this paper, we construct six families of infinite simple conformal
superalgebra of finite growth based on our earlier work on constructing vertex
operator superalgebras from graded assocaitive algebras. Three subfamilies of
these conformal superalgebras are generated by simple Jordan algebras of types
A, B and C in a certain sense.

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