研究者業績

小寺諒介

コデラリョウスケ (Ryosuke Kodera)

基本情報

所属: 千葉大学情報戦略機構（数学・情報数理学兼任）准教授

学位: 修士（数理科学）(2008年3月東京大学)
博士（数理科学）(2011年3月東京大学)

J-GLOBAL ID: 201801004206948462
researchmap会員ID: 7000023901

研究分野

自然科学一般 / 代数学 /

学歴

- 2011年3月

東京大学大学院数理科学研究科博士課程数理科学専攻修了

論文

Coproduct for affine Yangians and parabolic induction for rectangular W-algebras

Ryosuke Kodera, Mamoru Ueda

Letters in Mathematical Physics 112(1) 2022年1月10日査読有り
Finite dimensional simple modules of (q,Q)-current algebras

Ryosuke Kodera, Kentaro Wada

Journal of Algebra 570 470-530 2021年3月15日査読有り
Level one Weyl modules for toroidal Lie algebras

Ryosuke Kodera

Letters in Mathematical Physics 110(11) 3053-3080 2020年8月10日査読有り
On Guay’s Evaluation Map for Affine Yangians

Ryosuke Kodera

Algebras and Representation Theory 2020年1月16日査読有り
Appendix to ``A Weyl module stratification of integrable representations'' by Syu Kato and Sergey Loktev

Ryosuke Kodera

Communications in Mathematical Physics 368(1) 113-141 2019年4月査読有り
Braid Group Action on Affine Yangian

Ryosuke Kodera

Symmetry, Integrability and Geometry: Methods and Applications 15(020) 2019年3月16日査読有り筆頭著者責任著者
Appendices to ``Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian'' by Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, Alex Weekes

Advances in Theoretical and Mathematical Physics 23(1) 75-166 2019年査読有り
Affine Yangian action on the Fock space

小寺諒介

Publications of the Research Institute for Mathematical Sciences 55(no. 1,) 189-234 2019年査読有り
Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras

小寺諒介, Hiraku Nakajima

Proceedings of Symposia in Pure Mathematics 98 49-78 2018年査読有り
Higher level Fock spaces and affine Yangian

小寺諒介

Transformation Groups 23(4) 939-962 2018年査読有り
Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties

小寺諒介, Katsuyuki Naoi

Publications of the Research Institute for Mathematical Sciences 48(3) 477-500 2012年9月査読有り
Extensions between finite-dimensional simple modules over a generalized current Lie algebra

Ryosuke Kodera

TRANSFORMATION GROUPS 15(2) 371-388 2010年6月査読有り

We calculate the first extension groups for finite-dimensional simple modules over an arbitrary generalized current Lie algebra, which includes the case of loop Lie algebras and their multivariable analogs.
A generalization of adjoint crystals for the quantized affine algebras of type A (n) ((1)) , C (n) ((1)) and D (n+1) ((2))

Ryosuke Kodera

JOURNAL OF ALGEBRAIC COMBINATORICS 30(4) 491-514 2009年12月査読有り

We generalize Benkart-Frenkel-Kang-Lee's adjoint crystals and describe their crystal structure for type A (n) ((1)) , C (n) ((1)) and D (n+1) ((2)) .