Highest weight irreducible unitarizable representations of Lie algebras of infinite matrices. The algebra A∞
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Publication:3497232
DOI10.1063/1.528786zbMath0712.17010OpenAlexW2060969907WikidataQ115331741 ScholiaQ115331741MaRDI QIDQ3497232
No author found.
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528786
infinite-dimensional Lie algebrahighest weight representationcentral extensionmodules with finite signature
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)
Related Items
Gelfand–Tsetlin Bases for Classical Lie Algebras, Quantum \(\mathfrak{gl}_\infty\), infinite \(q\)-Schur algebras and their representations, Highest weight irreducible representations of the quantum algebra Uh(A∞), Highest weight irreducible representations of the Lie superalgebra gl(1|∞)
Cites Work
- Solitons and infinite dimensional Lie algebras
- Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II
- Highest weight irreducible unitary representations of Lie algebras of infinite matrices. I. The algebra gl(∞)
- Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
- KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- A Generalized Method of Field Quantization
