ℤ2-Graded Oscillator Representations ofsl(n)

DOI10.1080/00927872.2012.682680zbMath1286.17008OpenAlexW1965358476MaRDI QIDQ2842705

Cui Ling Luo, Xiaoping Xu

Publication date: 16 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.682680

zbMATH Keywords

decompositionLaplace operatoroscillator representationirreducible modulespecial linear Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Harmonic analysis and PDEs (42B37)

Related Items (8)

On polynomial representations of strange Lie superalgebras of \(Q\)-type ⋮ Conformal oscillator representations of orthogonal Lie algebras ⋮ Gelfand-Kirillov dimensions of the ℤ-graded oscillator representations of 𝔬(n,ℂ) and 𝔰𝔭(2n,ℂ) ⋮ Gelfand-Kirillov dimensions of the \(\mathbb{Z}^{2}\)-graded oscillator representations of \(\mathfrak{sl}(n)\) ⋮ Conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ On polynomial representations of strange Lie superalgebras \(P(n)\) ⋮ \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras ⋮ Supersymmetric analogues of the classical theorem on harmonic polynomials

Cites Work

• Solutions of Navier equations and their representation structure
• Flag partial differential equations and representations of Lie algebras
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