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

Zhen Xiong

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
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  • 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.

Zhen Xiong. (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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