Valeri, D. (2021) W -algebras via Lax type operators. In: Paranjape, M.B., MacKenzie, R., Thomova, Z., Winternitz, P. and Witczak-Krempa, W. (eds.) Quantum Theory and Symmetries: Proceedings of the 11th International Symposium, Montreal, Canada. Series: CRM series in mathematical physics. Springer: Cham, pp. 181-198. ISBN 9783030557768 (doi: 10.1007/978-3-030-55777-5_17)
Text
246935.pdf - Accepted Version 772kB |
Abstract
W-algebras are certain algebraic structures associated to a finite-dimensional Lie algebra Open image in new window and a nilpotent element f via Hamiltonian reduction. In this note we give a review of a recent approach to the study of (classical affine and quantum finite) W-algebras based on the notion of Lax type operators. For a finite-dimensional representation of Open image in new window a Lax type operator for W-algebras is constructed using the theory of generalized quasideterminants. This operator carries several pieces of information about the structure and properties of the W-algebras and shows the deep connection of the theory of W-algebras with Yangians and integrable Hamiltonian hierarchies of Lax type equations.
Item Type: | Book Sections |
---|---|
Status: | Published |
Glasgow Author(s) Enlighten ID: | Valeri, Dr Daniele |
Authors: | Valeri, D. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Publisher: | Springer |
ISBN: | 9783030557768 |
Published Online: | 08 August 2020 |
Copyright Holders: | Copyright © 2021 Springer Nature Switzerland AG |
First Published: | First published in Quantum Theory and Symmetries: Proceedings of the 11th International Symposium, Montreal, Canada: 181-198 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
University Staff: Request a correction | Enlighten Editors: Update this record