Hideya Watanabe

J-GLOBAL         Last updated: Dec 29, 2019 at 08:25
 
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Name
Hideya Watanabe
E-mail
hideyakurims.kyoto-u.ac.jp
Affiliation
Kyoto University
Section
Research Institute for Mathematical Sciences
Research funding number
10848782

Research Areas

 
 
  • Mathematics / Algebra / representation theory

Academic & Professional Experience

 
Oct 2019
 - 
Today
Research Institute for Mathematical Sciences, Kyoto University
 
Apr 2019
 - 
Sep 2019
Graduate School of Information Science and Technology, Osaka University
 

Published Papers

 
Bao Huanchen, Wang Weiqiang, Watanabe Hideya
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   146(8) 3203-3216   Aug 2018   [Refereed]
Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Hideya Watanabe
to appear in Math. Res. Letters      Feb 2018   [Refereed]
We establish a three-parameter Schur duality between the affine Hecke algebra
of type C and a coideal subalgebra of quantum affine Tex. At the
equal parameter specializations, we obtain Schur dualities of types BCD.
Hideya Watanabe
to appear in Int. Math. Res. Not.      Apr 2017   [Refereed]
We study the representation theory of a quantum symmetric pair
Tex with two parameters Tex of type AIII, by
using highest weight theory and a variant of Kashiwara's crystal basis theory.
Namely, we classify the irr...
Satoshi Naito,Hideya Watanabe
J. Comb. Theory, Ser. A   148 197-243   2017   [Refereed]

Misc

 
Hideya Watanabe
   Dec 2019
Texquantum groups are generalizations of quantum groups which appear as
coideal subalgebras of quantum groups in the theory of quantum symmetric pairs.
In this paper, we define the notion of classical weight modules over an
Texquantum gr...
Hideya Watanabe, Keita Yamamura
   Sep 2019
In their study of the equivariant K-theory of the generalized flag varieties
Tex, where Tex is a complex semisimple Lie group, and Tex is a parabolic
subgroup of Tex, Lenart and Postnikov introduced a combinatorial tool, called
the alcove paths ...
Hideya Watanabe
   Sep 2018
In this paper, we study basic properties of global Tex-crystal bases for
integrable modules over a quantum symmetric pair coideal subalgebra
Tex associated to the Satake diagram of type AIII with even
white nodes and no blac...
Huanchen Bao, Weiqiang Wang, Hideya Watanabe
   Aug 2018
We generalize a construction in [BW18] (arXiv:1610.09271) by showing that the
tensor product of a based Tex-module and a based
Tex-module is a based Tex-module. This is then used
to formulate a Kazhdan-...

Conference Activities & Talks

 
Classical modules over i-quantum groups [Invited]
Hideya Watanabe
29 Nov 2019   
Alcove paths and Gelfand-Tsetlin patterns
Hideya Watanabe
Representation Theory and its Combinatorial Aspects   28 Oct 2019   
Highest weight theory for ı-quantum groups
Hideya Watanabe
24 May 2019   
A new approach to classical representations of non-standard quantum group Tex [Invited]
Hideya Watanabe
10 May 2019   
Highest weight theory for Tex-quantum groups of type A [Invited]
Hideya Watanabe
Infinite Analysis 19 Quantum symmetries and Integrable Systems   Mar 2019   

Association Memberships