Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras
Name
091702_1_5.0157794.pdf
Description
Accepted version
Size
5.48 MB
Format
Adobe PDF
Checksum (MD5)
37fba73ad9153205cd5c26f09300605a
Author(s)
Kac, Victor
van de Leur, Johan
Date Issued
September 22, 2023
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Citation
Victor Kac, Johan van de Leur; Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras. J. Math. Phys. 1 September 2023; 64 (9): 091702.
Version
Final published version
Abstract
This, to a large extent, expository paper describes the theory of multicomponent hierarchies of evolution equations of XKP type, where X = A, B, C, or D, and AKP = KP and their reductions, associated with the conjugacy classes of the Weyl groups of classical Lie algebras of type X. As usual, the main tool is the multicomponent boson–fermion correspondence, which leads to the corresponding tau-functions, wave functions, dressing operators, and Lax operators.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/5.0157794
