M
Michio Jimbo
Researcher at Rikkyo University
Publications - 236
Citations - 23764
Michio Jimbo is an academic researcher from Rikkyo University. The author has contributed to research in topics: Quantum affine algebra & Lie algebra. The author has an hindex of 64, co-authored 234 publications receiving 22767 citations. Previous affiliations of Michio Jimbo include Institute for the Physics and Mathematics of the Universe & Research Institute for Mathematical Sciences.
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A q -difference analogue of U(g) and the Yang-Baxter equation
TL;DR: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced in this article, and its structure and representations are studied in the simplest case g=sl(2).
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A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation
TL;DR: In this article, the structure and representations of the universal enveloping algebra U(g) were studied for g = g[(N+1) the structure of the algebra Ŭ(g), a q-analogue of the Universal Enveloping Algebra (U(g)).
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Solitons and Infinite Dimensional Lie Algebras
Michio Jimbo,Tetsuji Miwa +1 more
TL;DR: In this paper, Bilinear Equations for the (Modified) KP Hierarchies Appendix 2. Bilinearly Equations Related to the Spin Representations of Bca Appendix 4.
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Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II
Michio Jimbo,Tetsuji Miwa +1 more
TL;DR: In this article, a series of τ functions parametrized by integers are introduced and their ratios to the original τ function are then shown to be explicit rational expressions in terms of the coefficients of A(x).
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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
Michio Jimbo,Tetsuji Miwa +1 more
TL;DR: In this paper, a unified treatment of monodromy and spectrum-preserving deformations is presented, in particular a general procedure is described to reduce the latter into the former consistently, and the concept of the τ-function, previously introduced for the former, is extended to the isospectral context.