On the complete integrability of the periodic quantum Toda lattice

DOI10.1515/forum-2016-0117zbMath1379.37105arXiv1604.08726OpenAlexW2963226800MaRDI QIDQ1683672

Augustin-Liviu Mare

Publication date: 1 December 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08726

zbMATH Keywords

Kac-Moody Lie algebracomplete integrabilityDynkin diagramperiodic quantum Toda lattice

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Simple, semisimple, reductive (super)algebras (17B20) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Quantum cohomology of the infinite-dimensional generalized flag manifolds
• Classical and quantum-mechanical systems of Toda lattice type. I
• Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems
• Basic sets of invariant polynomials for finite reflection groups
• AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• An affine quantum cohomology ring for flag manifolds and the periodic Toda lattice
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the complete integrability of the periodic quantum Toda lattice