T. Shoji

activity

20012022

most citedPositivity properties for canonical bases of modified quantum affine

sl_{n}

3 citations · 12 across the 25 of their papers we have counts for

collaborators

28 papers

math.QA2022

Foldings of KLR algebras

Ying Ma, Toshiaki Shoji, Zhiping Zhou

Let $U_{q}^{-}$ be the negative half of the quantum group associated to a Kac-Moody algebra $g$ , and $U_{q}^{-}$ the quantum group obtained by a f…

math.QA2022

Diagram automorphisms and canonical bases for quantum affine algebras, II

Ying Ma, Toshiaki Shoji, Zhiping Zhou

Let $U_{q}^{-}$ be the negative part of the quantum enveloping algebra, and $σ$ the algebra automorphism on $U_{q}^{-}$ induced from a diagram automorphism. Let $\under…

math.QA2021

Diagram automorphisms and canonical bases for quantized enveloping algebras

Ying Ma, Toshiaki Shoji, Zhiping Zhou

Let $U_{q}^{-}$ be the negative part of the quantized enveloping algebra associated to a Kac-Moody algebra $g$ of symmetric type, and $U_{q}^{-}$ …

math.RT2020

Generalized Green functions and unipotent classes for finite reductive groups, III

Toshiaki Shoji

Lusztig's algorithm of computing generalized Green functions of reductive groups involves an ambiguity of certain scalars. In this paper, for reductive groups of classical type wit…

math.QA2019

Diagram automorphisms and canonical bases for quantum affine algebras

Toshiaki Shoji, Zhiping Zhou

Let $U_{q}^{-}$ be the negative part of the quantum enveloping algebra associated to a simply laced Kac-Moody Lie algebra $g$ , and $U_{q}^{-}$ the…

math.RT2019★ 2 cited

Springer correspondence for symmetric spaces

Toshiaki Shoji

This is a survey article on the Springer correspondence for symmetric spaces. We discuss various generalization of the theory of the Springer correspondence for reductive groups to…