Strictly nilpotent elements and bispectral operators in the Weyl algebra.

DOI10.1016/S0007-4497(02)01132-6zbMath1106.16304arXivmath-ph/0206030OpenAlexW2058945219MaRDI QIDQ1865014

Emil Horozov

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0206030

zbMATH Keywords

Weyl algebrasautomorphismsbispectral operatorsLie-nilpotent elements

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) General spectral theory of ordinary differential operators (34L05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Rings of differential operators (associative algebraic aspects) (16S32) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Cites Work

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• Bispectral algebras of commuting ordinary differential operators
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• Bispectral operators of prime order
• Bispectral KP solutions and linearization of Calogero-Moser particle systems
• General methods for constructing bispectral operators
• Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem
• Bispectral commutative ordinary differential operators.
• Time‐band limiting and the bispectral problem
• Sur les algèbres de Weyl

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