Highest weight irreducible unitary representations of Lie algebras of infinite matrices. I. The algebra gl(∞)

DOI10.1063/1.528892zbMath0712.17008OpenAlexW4241692729WikidataQ115331712 ScholiaQ115331712MaRDI QIDQ3497231

Tchavdar D. Palev

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528892

zbMATH Keywords

highest weight representationsirreducible representationsGelfand-Tsetlin basesGelfand-Tsetlin-construction

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

PARAFERMIONS, PARABOSONS AND REPRESENTATIONS OF 𝔰𝔬(∞) AND 𝔬𝔰𝔭(1|∞) ⋮ Highest weight irreducible unitarizable representations of Lie algebras of infinite matrices. The algebra A∞ ⋮ Casimir invariants and characteristic identities for gl(∞) ⋮ 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∞)

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
• 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
• On the Representations of the Semisimple Lie Groups. II

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