Casimir invariants and characteristic identities for gl(∞)

DOI10.1063/1.532123zbMath0895.17019arXivphysics/9612009OpenAlexW2067206076WikidataQ60732541 ScholiaQ60732541MaRDI QIDQ4370779

Neli I. Stoilova, Mark D. Gould

Publication date: 28 January 1998

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

Full work available at URL: https://arxiv.org/abs/physics/9612009

zbMATH Keywords

eigenvaluespolynomial identitiesinfinite matricesCasimir invariantsLie algebra \(gl(\infty)\)

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65)

Related Items (1)

Whittaker modules for \(\widehat{\mathfrak{gl}}\) and \(\mathcal{W}_{1+\infty}\)-modules which are not tensor products

Cites Work

• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Highest weight irreducible unitary representations of Lie algebras of infinite matrices. I. The algebra gl(∞)
• Multiplicity-free Wigner coefficients for semisimple Lie groups. I. The U(n) pattern calculus
• A projection based approach to the Clebsch-Gordan multiplicity problem for compact semisimple Lie groups: I. General formalism
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• A new approach to the eigenvalues of the Gel’fand invariants for the unitary, orthogonal, and symplectic groups
• Characteristic Identities for Generators of GL(n), O(n) and Sp(n)

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