The additional symmetries for the BTL and CTL hierarchies

In this paper, we construct the additional symmetries for the Toda lattice hierarchies of B type and C type (the BTL and CTL hierarchies), and show their algebraic structures are \documentclass[12pt]{minimal}\begin{document}$w_\infty ^B\times w_\infty ^B$\end{document} w ∞ B × w ∞ B and \documentcla...

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Veröffentlicht in:	Journal of mathematical physics 2011-05, Vol.52 (5), p.053515-053515-11
Hauptverfasser:	Cheng, Jipeng, Tian, Kelei, He, Jingsong
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Lattice theory Mathematical functions Mathematical methods in physics Mathematics Physics Sciences and techniques of general use
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we construct the additional symmetries for the Toda lattice hierarchies of B type and C type (the BTL and CTL hierarchies), and show their algebraic structures are \documentclass[12pt]{minimal}\begin{document}$w_\infty ^B\times w_\infty ^B$\end{document} w ∞ B × w ∞ B and \documentclass[12pt]{minimal}\begin{document}$w_\infty ^C\times w_\infty ^C$\end{document} w ∞ C × w ∞ C , respectively. And also we discuss the generating functions of the additional symmetries.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.3589995