Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Generalized Toda flows


Authors: Darren C. Ong and Christian Remling
Journal: Trans. Amer. Math. Soc. 371 (2019), 5069-5081
MSC (2010): Primary 34L40, 37K10, 47B36, 81Q10
DOI: https://doi.org/10.1090/tran/7695
Published electronically: November 13, 2018
MathSciNet review: 3934478
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger groups of $ C^2$ and entire functions, and in this second case, we also introduce associated cocycles and in fact give center stage to this object.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 34L40, 37K10, 47B36, 81Q10

Retrieve articles in all journals with MSC (2010): 34L40, 37K10, 47B36, 81Q10


Additional Information

Darren C. Ong
Affiliation: Department of Mathematics, Xiamen University Malaysia, Jalan Sunsuria, Bandar Sunsuria, 43900 Sepang, Selangor Darul Ehsan, Malaysia
Email: darrenong@xmu.edu.my

Christian Remling
Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email: christian.remling@ou.edu

DOI: https://doi.org/10.1090/tran/7695
Keywords: Toda flow, cocycle
Received by editor(s): February 4, 2018
Received by editor(s) in revised form: July 15, 2018
Published electronically: November 13, 2018
Additional Notes: The first author was supported by a Xiamen University Malaysia Research Fund (Grant No. XMUMRF/2018-C1/IMAT/0001).
Article copyright: © Copyright 2018 American Mathematical Society