On representations of the Lie superalgebra \(p\)(\(n\))

DOI10.1016/S0021-8693(02)00645-2zbMath1032.17008WikidataQ115340514 ScholiaQ115340514MaRDI QIDQ1858294

Vera V. Serganova

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

irreducible representationscentral characterradical of universal enveloping algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (23)

Primitive ideals, twisting functors and star actions for classical Lie superalgebras ⋮ Duflo-Serganova functor and superdimension formula for the periplectic Lie superalgebra ⋮ Lie superalgebras, Clifford algebras, induced modules and nilpotent orbits ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ The Primitive Spectrum and Category  for the Periplectic Lie Superalgebra ⋮ Highest weight modules over the quantum periplectic superalgebra of type \(P\) ⋮ Kostant's problem for Whittaker modules ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Affine periplectic Brauer algebras ⋮ Denominator identities for the periplectic Lie superalgebra ⋮ Simple supermodules over Lie superalgebras ⋮ On polynomial representations of strange Lie superalgebras \(P(n)\) ⋮ Finite-dimensional representations of periplectic Lie superalgebras ⋮ Whittaker modules for classical Lie superalgebras ⋮ Cohomology and support varieties for Lie superalgebras ⋮ Spherical indecomposable representations of Lie superalgebras ⋮ Quantized enveloping superalgebra of type \(P\) ⋮ The affine VW supercategory ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ Kac–Wakimoto conjecture for the periplectic Lie superalgebra ⋮ Tilting modules for classical Lie superalgebras ⋮ On the structure and characters of weight modules ⋮ SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

Cites Work

• Unnamed Item
• Borel-Weil-Bott theory for classical Lie superalgebras
• Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture
• Minimal prime ideals in enveloping algebras of Lie superalgebras
• Lie superalgebras
• The center of a simple \(P\)-type Lie superalgebra.

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