Chalykh, O. orcid.org/0000-0003-4529-2310 (Accepted: 2024) Dunkl and Cherednik Operators. In: Encyclopedia of Mathematical Physics (2nd Edition). Elsevier , pp. 309-327. ISBN 978-0-323-95706-9
Abstract
This survey article, written for the Encyclopedia of Mathematical Physics, 2nd edition, is devoted to the remarkable family of operators introduced by Charles Dunkl and to their q-analogues discovered by Ivan Cherednik. The main focus is on the rôle of these operators in studying integrable many-body systems such as the Calogero—Moser and the Ruijsenaars systems. To put these constructions into a wider context, we indicate their relationship with the theory of the rational Cherednik algebras and double affine Hecke algebras. While we do not include proofs, references to the original research articles are provided, accompanied by brief historical comments.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Nov 2024 11:11 |
Last Modified: | 11 Nov 2024 11:11 |
Status: | Published online |
Publisher: | Elsevier |
Identification Number: | 10.1016/B978-0-323-95703-8.00060-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:219375 |