Some Rational Vertex Algebras
Drazen Adamovic

TL;DR
This paper classifies all irreducible modules for certain rational vertex algebras associated with symplectic affine Lie algebras and proves complete reducibility of modules in category O.
Contribution
It provides a complete classification of irreducible modules and establishes complete reducibility for modules in category O for these vertex algebras.
Findings
Complete set of irreducible modules identified.
Modules in category O are completely reducible.
The vertex algebras are shown to be rational.
Abstract
Let , , be a vertex operator algebra associated to the irreducible highest weight module for a symplectic affine Lie algebra. We find a complete set of irreducible modules for and show that every module for from the category is completely reducible.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
