Keio University

Published papers

Ikeda, Kaoru

1-20 items (total 22)

Applications of the full Kostant-Toda lattice and hyper-functions to unitary representations of the Heisenberg groups

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Symplectic Geometry Publisher International Press Volume 21(Issue 4) Start Page 653 - End Page 682 (Publication Date)2023/12)
Role
First Author Last Author Corresponding Author
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The resolution of the singular loci of the Toda lattice on the split and connected reductive Lie groups

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Geometry and Physics Publisher Elsevier (Publication Date)2020)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

A supersymmetric extension of the Toda lattice hierarchy

Author
Kaoru Ikeda
Publication Title
Magazine name Letters in Mathematical Physics Publisher Kulwer Academic publisher Volume 14(Issue 4) Start Page 321-328 (Publication Date)1987)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Algebraic study on the super KP hierarchy and ortho-symplectic super KP hierarchy

Author
Kaoru Ikeda
Publication Title
Magazine name Communications in Mathematical Physics Publisher Springer Start Page 57-78 (Publication Date)1988)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The super Toda lattice hierarchy

Author
Kaoru Ikeda
Publication Title
Magazine name Publications of Research Institute for Mathematical Sciences Publisher Research Institute for Mathematical Sciences Kyoto University Volume 25(Issue 5) Start Page 829-845 (Publication Date)1989)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The Fock representation of osp(infty|infty) and the orthogonal symplectic super KP hierarchy

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Mathematical Physics Publisher America Institute of Physics Volume 31(Issue 9) Start Page 2263-2270 (Publication Date)1990)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The Hamiltonian systems on the Poisson structure of the quasi classical limit of GL_q(infty)

Author
Kaoru Ikeda
Publication Title
Magazine name Letters in Mathematical Physics Publisher Kluwer academic publisher Volume 23(Issue 2) Start Page 121-126 (Publication Date)1991)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Algebraic study on the Poisson structure of B and C type and super Lax operator

Author
Kaoru Ikeda
Publication Title
Magazine name Infinite Analysis Part A,B Advance Ser. Math. Phys Publisher World Scientific Publ (Publication Date)1992)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Algebraic dependence of Hamiltonians on the coordinate ring of the quantum group GL_q(n)

Author
Kaoru Ikeda
Publication Title
Magazine name Physics Letters A Publisher Elsevier Volume 183(Issue 1) Start Page 43-50 (Publication Date)1993)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The commutativity of quantized first- and higher-order Hamiltonians

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Physics A Publisher Institute of Physics Volume 27(Issue 17) Start Page 5969-5977 (Publication Date)1994)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The Poisson structure on the coordinate ring of discrete Lax operator and Toda lattice equation

Author
Kaoru Ikeda
Publication Title
Magazine name Advances in Applied mathematics Publisher Academic Press Start Page 379-389 (Publication Date)1994)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Commutativity of quantized first-order and higher-order Hamitonian

Author
Kaoru Ikeda
Publication Title
Publisher RIMS Kyoto University Start Page 157-168 (Publication Date)1994/04)
Authorship Category
Single Work
Publication Category
Research paper (conference, symposium, etc.)
Peer-review Status
Without

The higher order Hamiltonian structures for the modified classical Yang-Baxter equation

Author
Kaoru Ikeda
Publication Title
Magazine name Communications in Mathematical Physics Publisher Springer Start Page 757-777 (Publication Date)1996)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The spectrum for the solution of the modified classical Yang-Baxter equation

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Algebra Publisher Academic press Start Page 375-392 (Publication Date)1999)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

On the resolution of the quantum Toda lattice

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of functional analysis Publisher Academic press Start Page 404-424 (Publication Date)2001)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Compactifications of the iso level set of the Hessenberg matrices and the full Kostant-Toda lattice

Author
Kaoru Ikeda
Publication Title
Magazine name Proceedings of the Japan academy Series A Mathematical sciences Volume 82A(Issue 7) Start Page 93-96 (Publication Date)2006/09)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The Toda flows preserving small cells of the flag variety G/B and Kazhdan's x_0-grading

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Geometry and Physics Publisher Elsevier Start Page 799-813 (Publication Date)2007/01)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The monoidal transformation by Painleve divisor and resolution of the poles of the Toda lattice

Author
Kaoru Ikeda
Publication Title
Magazine name Journal de Mathematiques Pure et Appliquees Publisher Elsevier Start Page 329-337 (Publication Date)2008)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The Algebraic Integrability of the Quantum Toda lattice and the Radon Transform

Author
Kaoru Ikeda
Publication Title
Magazine name Journal of Fourier Analysis and Applications Publisher Birkhauser Start Page 80-100 (Publication Date)2009)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

On stable solutions of the finite non-periodic Toda lattice

Author
Kaoru Ikeda
Publication Title
Magazine name C.R.Acad.Sci.Paris, Ser. I Publisher Academie des sciences Start Page 985-989 (Publication Date)2012)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With