Highest weight representations of the Lie algebra \(\mathfrak{gl}_{\infty}\)

DOI10.1007/BF01077927zbMath0712.17007WikidataQ115394301 ScholiaQ115394301MaRDI QIDQ923710

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

infinite-dimensional Lie algebrahighest weight representationsirreducible representationsGelfand-Tsetlin bases

Mathematics Subject Classification ID

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

Related Items (6)

Symmetry algebra of nonlinear integrable equations ⋮ Integration of non-Abelian Langmuir type lattices by the inverse spectral problem method ⋮ Algebra of pseudodifferential operators and symmetries of equations in the Kadomtsev–Petviashvili hierarchy ⋮ Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices ⋮ Highest weight irreducible representations of the quantum algebra Uh(A∞) ⋮ Highest weight irreducible representations of the Lie superalgebra gl(1|∞)

Cites Work

• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Unnamed Item

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