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Volume 34, Issue 1
One Parameter Deformation of Symmetric Toda Lattice Hierarchy

Zhen Xiong

DOI: 10.13447/j.1674-5647.2018.01.05

Commun. Math. Res., 34 (2018), pp. 47-53.

Published online: 2019-12

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  • Abstract

In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by Hom-Lie algebras, or is the applications of Hom-Lie algebras. We mainly consider three kinds of deformations, and give solutions to deformations respectively under some conditions.

  • Keywords

Hom-Lie algebra, deformation, symmetric Toda hierrchy

  • AMS Subject Headings

17B99, 55U15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

205137@jxycu.edu.cn (Zhen Xiong)

  • BibTex
  • RIS
  • TXT
@Article{CMR-34-47, author = {Xiong , Zhen}, title = {One Parameter Deformation of Symmetric Toda Lattice Hierarchy}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {1}, pages = {47--53}, abstract = {

In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by Hom-Lie algebras, or is the applications of Hom-Lie algebras. We mainly consider three kinds of deformations, and give solutions to deformations respectively under some conditions.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.01.05}, url = {http://global-sci.org/intro/article_detail/cmr/13502.html} }
TY - JOUR T1 - One Parameter Deformation of Symmetric Toda Lattice Hierarchy AU - Xiong , Zhen JO - Communications in Mathematical Research VL - 1 SP - 47 EP - 53 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.01.05 UR - https://global-sci.org/intro/article_detail/cmr/13502.html KW - Hom-Lie algebra, deformation, symmetric Toda hierrchy AB -

In this paper, we study one parameter deformation of full symmetric Toda hierarchy. This deformation is induced by Hom-Lie algebras, or is the applications of Hom-Lie algebras. We mainly consider three kinds of deformations, and give solutions to deformations respectively under some conditions.

Xiong , Zhen. (2019). One Parameter Deformation of Symmetric Toda Lattice Hierarchy. Communications in Mathematical Research . 34 (1). 47-53. doi:10.13447/j.1674-5647.2018.01.05
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