Quantum affine algebras, graded limits and flags
In this survey, we review some of the recent connections between the representation theory
of (untwisted) quantum affine algebras and the representation theory of current algebras. We …
of (untwisted) quantum affine algebras and the representation theory of current algebras. We …
Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
S Kato - Forum of Mathematics, Pi, 2021 - cambridge.org
We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties
and its Schubert varieties over an algebraically closed field. Some particular cases of these …
and its Schubert varieties over an algebraically closed field. Some particular cases of these …
Reduced arc schemes for Veronese embeddings and global Demazure modules
I Dumanski, E Feigin - Communications in Contemporary …, 2023 - World Scientific
We consider arc spaces for the compositions of Plücker and Veronese embeddings of the
flag varieties for simple Lie groups of types ADE. The arc spaces are not reduced and we …
flag varieties for simple Lie groups of types ADE. The arc spaces are not reduced and we …
Beilinson-Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules
J Hong, H Yu - arXiv preprint arXiv:2209.07347, 2022 - arxiv.org
Let $\mathcal {G} $ be a parahoric Bruhat-Tits group schemes arising from a $\Gamma $-
curve $ C $ and a certain $\Gamma $-action on a simple algebraic group $ G $ for some …
curve $ C $ and a certain $\Gamma $-action on a simple algebraic group $ G $ for some …
Beilinson–Drinfeld Schubert varieties and global Demazure modules
Beilinson–Drinfeld Schubert varieties and global Demazure modules Page 1 Forum of
Mathematics, Sigma (2021), Vol. 9:e42 1–25 doi:10.1017/fms.2021.36 RESEARCH ARTICLE …
Mathematics, Sigma (2021), Vol. 9:e42 1–25 doi:10.1017/fms.2021.36 RESEARCH ARTICLE …
Peter-Weyl, Howe and Schur-Weyl theorems for current groups
E Feigin, A Khoroshkin, I Makedonskyi - arXiv preprint arXiv:1906.03290, 2019 - arxiv.org
The classical Peter-Weyl theorem describes the structure of the space of functions on a semi-
simple algebraic group. On the level of characters (in type A) this boils down to the Cauchy …
simple algebraic group. On the level of characters (in type A) this boils down to the Cauchy …
Beilinson-Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules
H Yu - 2023 - cdr.lib.unc.edu
Abstract Let $\mathcal {G} $ be a parahoric Bruhat-Tits group schemes arising from a
$\Gamma $-curve $ C $ and a certain $\Gamma $-action on a simple algebraic group $ G …
$\Gamma $-curve $ C $ and a certain $\Gamma $-action on a simple algebraic group $ G …