Koji HASEGAWA【長谷川　浩司】,  Assoc.Professor

Research Field

Representation theory

Research Interests

 I am studying the representation theory and the integrable systems. In particular, the algebraic systems called quantum groups, which generalizes the notion of Lie groups as symmetries of equations, and the associated solvable systems such as integrable difference equations.

Contents of Instruction

 The representation theory on Lie groups and Lie algebras and their quantum group version, spherical functions and Calogero type differential /difference operators and their generalizations associated with elliptic curves, and as the basis of these, soliton equations, solvable lattice model, and conformal field theory.

One word

 In this area, everyday life would be difficult because you must handle many things in parallel. However, in the field I am studying, we can feel such that “we have one mathematics”. For the quick introduction to this field of study, we have a book, “Invitation to Mathematical Physics”, by Hiroshi Ezawa (published by Yuseisha in 1994, in Japanese: Please read chapters, 2, 3, 7 and 8, especially), or a book written by T Miwa, E Date, M Jimbo "Solitons --- differential equations, symmetries and infinite dimensional algebras" (Cambridge university press, 2000).

Remarks

Personal Web Page  
Laboratory Mathematics Building 502
Telephone +81-22-795-6392
E-mail kojihas[at]math.tohoku.ac.jp

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