Flag partial differential equations and representations of Lie algebras

DOI10.1007/S10440-008-9217-3zbMath1171.35343arXiv0706.4195OpenAlexW2963432938MaRDI QIDQ934838

Xiaoping Xu

Publication date: 30 July 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4195

zbMATH Keywords

wave equationrepresentationLie algebraLaplace equationgeneralized Tricomi operatorpolynomial solutionpartial differential equation of flag type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solvable, nilpotent (super)algebras (17B30) Initial value problems for linear higher-order PDEs (35G10) Polynomial solutions to PDEs (35C11)

Related Items (8)

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 Galilei algebras, symmetric polynomials and singular vectors ⋮ \(\mathbb Z\)-graded oscillator representations of symplectic Lie algebras ⋮ Supersymmetric analogues of the classical theorem on harmonic polynomials ⋮ Solutions of Jimbo-Miwa equation and Konopelchenko-Dubrovsky equations ⋮ Solutions of Navier equations and their representation structure ⋮ ℤ²-Graded Oscillator Representations ofsl(n)

Cites Work

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• Fundamental solutions for the Tricomi operator. II
• Differential invariants of classical groups
• Fundamental solutions for the Tricomi operator
• Tree Diagram Lie Algebras of Differential Operators and Evolution Partial Differential Equations
• Introduction to Lie Algebras and Representation Theory

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