Polynomial representations of the symplectic groups

DOI10.1007/BF00047536zbMath0625.22017OpenAlexW2089093002MaRDI QIDQ579444

Tuong Ton-That, William H. Klink

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00047536

zbMATH Keywords

symplectic groupspolynomial representationsinvariant differentiation inner productWeyl's branching laws

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05)

Cites Work

• Unnamed Item
• Polynomial representations of the orthogonal groups
• Lowering operators and the symplectic group
• Finite Dimensional Induction and New Results on Invariants for Classical Groups, I
• Lie Group Representations and Harmonic Polynomials of a Matrix Variable
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Branching Theorem for the Symplectic Groups

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