Noncanonical Polynomial Representations of Classical Lie Algebras

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dc.creatorLuo, Cuiling
dc.date2008-04-02
dc.date2008-12-13
dc.date.accessioned2026-07-07T12:12:07Z
dc.date.available2026-07-07T12:12:07Z
dc.descriptionUsing the skew-symmetry of the differential operators and multiplication operators in the canonical representations of finite-dimensional classical Lie algebras, we obtain some noncanonical polynomial representations of the classical Lie algebras. The representation spaces of all polynomials are decomposed into irreducible submodules, which are infinite-dimensional. Bases for the irreducible submodules are constructed. In particular, we obtain some new infinite-dimensional irreducible modules of symplectic Lie algebras that are not of highest weight type.
dc.identifierhttps://arxiv.org/abs/0804.0305
dc.identifierhttp://arxiv.org/abs/0804.0305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210442
dc.subjectRepresentation Theory
dc.titleNoncanonical Polynomial Representations of Classical Lie Algebras
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