Certain associative algebras similar to U(sl₂) and Zhu's algebra A(V_(L))
classification
q-alg
math.QA
keywords
algebraassociatedassociativecertainevenlatticeoperatorpositive-definite
read the original abstract
It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of certain associative algebra introduced by Smith. Zhu's algebra for vertex operator algebra associated to any positive-definite even lattice is also calculated and is related to a generalization of Smith's algebra.
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