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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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Different views on Highest weight irreducible modules of the Virasoro algebra
Every highest weight irreducible representation of the Virasoro algebra can be labelled uniquely by a pair $(c,h)$ of complex numbers [1]. This module can be written as quotient of the unique (up to i …
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Monoidal category of irreducible highest weight modules of the Virasoro algebra
I'm trying to see if I can construct a monoidal category $\mathbf{C}$ whose objects are the irreducible unitary highest weight representations of the Virasoro algebra.
I am thinking on doing the fol …