Yoshiyuki Kimura

J-GLOBAL         Last updated: Aug 19, 2017 at 13:58
 
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Name
Yoshiyuki Kimura
Affiliation
Osaka Prefecture University
Section
Faculty of Liberal Arts and Sciences
Job title
Assistant professor
Degree
Ph. D(Kyoto university)
Other affiliation
Osaka City University
Twitter ID
ysykimura

Research Areas

 
 
  • Mathematics / Algebra / Representation theory

Education

 
Oct 2008
 - 
Jan 2012
Research Institute of Mathematical Sciences, Graduate School of Science, Kyoto University
 
May 2005
 - 
Sep 2008
Department of Mathematics, Graduate School of Science, Kyoto University
 
Apr 2001
 - 
Mar 2005
Faculty of Science, Kyoto University
 

Academic & Professional Experience

 
Apr 2017
 - 
Today
Faculty of Liberal Arts and Sciences, Osaka Prefecture University
 
Apr 2015
 - 
Mar 2017
Assistant Professor, Department of Mathematics, Kobe University
 
Jul 2014
 - 
Mar 2015
Researcher, Research Institute for Mathematical Science, Kyoto University
 
May 2014
 - 
Mar 2016
Additional Post Member, Advanced Mathematical Institute, Osaka City University
 
May 2014
 - 
Jul 2014
Research Associate, Department of Mathematics, Kyoto University
 
Apr 2014
 - 
May 2014
Member, Advanced Mathematical Institute, Osaka City University
 
Apr 2013
 - 
Mar 2014
Associate professor(Special Appointments), Advanced Mathematical Institute, Osaka City University
 
Apr 2012
 - 
Mar 2013
Assistant Professor(Special Appointments), Advanced Mathematical Institute, Osaka City university
 
Jan 2012
 - 
Mar 2012
Researcher, Research Institute for Mathematical Sciences, Kyoto University
 

Published Papers

 
Yoshiyuki Kimura
Pacific Journal of Mathematics   286(1) 125-151   Jan 2017   [Refereed]
We prove the tensor product decomposition of the half of the quantized universal enveloping algebra associated with a Weyl group element which was conjectured by Berenstein and Greenstein (preprint, 2014, arXiv 1411.1391; see Conjecture 5.5)
using...
Yoshiyuki Kimura, Hironori Oya
Algebras and Representation Theory      Aug 2017   [Refereed]
In this paper, we show that quantum twist maps, introduced by Lenagan-Yakimov
arxiv:1503.06297 and Goodearl-Yakimov arxiv:1602.00498, induce bijections
between dual canonical bases. As a corollary, we show the unitriangular
property between dual c...
Yoshiyuki Kimura
Kyoto Journal of Mathematics   52(2) 277-331   2012   [Refereed]
Geiss-Leclerc-Schroer defined the cluster algebra structure on the coordinate ring Tex of the unipotent subgroup, associated with a Weyl group element Tex and they proved cluster monomials are contained in Lusztig's dual semicanonical basis ...
Yoshiyuki Kimura, Fan Qin
Advances in Mathematics   262 261-312   Oct 2014   [Refereed]
Inspired by a previous work of Nakajima, we consider perverse sheaves over
acyclic graded quiver varieties and study the Fourier-Sato-Deligne transform
from a representation theoretic point of view. We obtain deformed monoidal
categorifications of...

Misc

 
Yoshiyuki Kimura, Hironori Oya
   Jan 2017
In this paper, we construct quantum twist automorphisms on quantum unipotent
cells, which are quantum analogues of the Berenstein-Fomin-Zelevinsky twist
automorphisms on unipotent cells. We show that those quantum twist
automorphisms preserve the ...
Yoshiyuki Kimura
Proceedings of the 44th Symposium on Ring Theory and Representation Theory   92-98   Mar 2012
Yoshiyuki Kimura
1770 96-113   Oct 2011   [Invited]
木村 嘉之
北海道大学数学講究録   142 9-16   Feb 2010

Conference Activities & Talks

 
Yoshiyuki Kimura
Ring Theory and Representation Theory Seminar   19 Jul 2017   Osamu Iyama, Yuta Kimura
Let Tex be a connected simply-connected complex simple algebraic group with a fixed maximal torus Tex , a pair of Borel subgroups Tex such that Tex and a Weyl group Tex and the maximal unipot...
Yoshiyuki Kimura
Algebraic Lie Theory and Representation Theory 2017   12 Jun 2017   
Yoshiyuki Kimura
信州代数セミナー   29 Oct 2016   Kentaro Wada
Quantum unipotent subgroup is the quantum coordinate ring of the unipotent subgroup associated with a finite subset which is defined by a Weyl group element of a symmetrizable Kac-Moody Lie algebra. By the works of Geiss-Leclerc-Schroer and Goodea...
Remarks on quantum unipotent subgroup and dual canonical basis
Yoshiyuki Kimura
Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis   29 Jun 2016   
Remarks on quantum unipotent subgroup and dual canonical basis
Yoshiyuki Kimura
Algebraic Lie Theory and Representation Theory 2016   11 Jun 2016   
Remarks on quantum unipotent subgroup and the dual canonical basis
Yoshiyuki Kimura
MSJ annual meeting Special session "Infinite analysis"   19 Mar 2016   
Yoshiyuki Kimura
Categorical Representation Theory and Combinatorics   8 Dec 2015   Masaki Kashiwara, Sungsoon Kim, Jae-Hoon Kwon, Young-Tak Oh, Euiyong Park
Remarks on quantum unipotent subgroup and the dual canonical basis
Yoshiyuki Kimura
Derived categories of finite dimensional algebras -Conference honoring Hideto Asashiba on the occasion of his 60th birthday-   11 Sep 2015   
Yoshiyuki Kimura
Kobe-Lyon Summer School in Mathematics 2015   28 Jul 2015   Masa-Hiko Saito, Nobuki Takayama, Kenji Iohara, Philippe Malbos
Yoshiyuki Kimura
Repsentation theory and Related Topics   19 Feb 2015   Tomoyuki Arakawa