Finite W-algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1016/0370-2693(92)90608-7

Finite versions of W-algebras are introduced by considering (symplectic)
reductions of finite dimensional simple Lie algebras. In particular a finite
analogue of $W^{(2)}_3$ is introduced and studied in detail. Its unitary and
non-unitary, reducible and irreducible highest weight representations are
constructed.

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