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The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural …
This memoir is devoted to the study of the structure of irreducible triangular algebras generated by a maximal abelian algebra and an ordered semigroup of unitary operators acting on the maximal abelian algebra.
This paper investigates algebraic and topological aspects of the study of reflexive operator algebras.
