scientific article; zbMATH DE number 813700

zbMath0861.17003arXivhep-th/9403135MaRDI QIDQ4854038

Konstantin Styrkas, Pavel I. Etingof

Publication date: 21 February 1996

Full work available at URL: https://arxiv.org/abs/hep-th/9403135

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

highest weight modulesmatrix Schrödinger operatorsalgebraic integrabilitycomplex simple Lie algebraCalogero-Sutherland operator

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Traces of intertwiners for quantum affine \(\mathfrak{sl}_2\) and Felder-Varchenko functions, Spherical functions on affine Lie groups, Irreducible highest weight modules and equivariant quantization, Unnamed Item, Norm of logarithmic primary of Virasoro algebra, How to regularize singular vectors and kill the dynamical Weyl group, Unnamed Item, Traces of intertwiners for quantum groups and difference equations. I, Hypergeometric solutions of trigonometric KZ equations satisfy dynamical difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Algebraic integrability for the Schrödinger equation and finite reflection groups
• Commuting families of symmetric differential operators
• Representations of affine Lie algebras, parabolic differential equations, and Lamé functions
• Completely integrable systems with a symmetry in coordinates
• Integrability in the theory of Schrödinger operator and harmonic analysis
• Commutative rings of partial differential operators and Lie algebras
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation
• A unified representation-theoretic approach to special functions
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• Quantum integrable systems and representations of Lie algebras
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]