Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Hong, Jiuzu"'
Autor:
Hong, Jiuzu, Kumar, Shrawan
The explicit Verlinde formula for the dimension of conformal blocks, attached to a marked projective curve $\Sigma$, a simple Lie algebra $\mathfrak{g}$ over $\mathbb{C}$ and integrable highest weight modules of a fixed central charge of the correspo
Externí odkaz:
http://arxiv.org/abs/2302.11105
Autor:
Damiolini, Chiara, Hong, Jiuzu
Let $G$ be a simple algebraic group over an algebraically closed field $k$. Let $\Gamma$ be a finite group acting on $G$. We classify and compute the local types of $(\Gamma, G)$-bundles on a smooth projective $\Gamma$-curve in terms of the first non
Externí odkaz:
http://arxiv.org/abs/2210.02379
Beilinson-Drinfeld Schubert varieties of parahoric group schemes and twisted global Demazure modules
Autor:
Hong, Jiuzu, Yu, Huanhuan
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 finite cyclic group $\Gamma$. We prove the flatness of Beilinson-Drinfeld Schubert var
Externí odkaz:
http://arxiv.org/abs/2209.07347
Autor:
Hong, Jiuzu, Kumar, Shrawan
Let $\Gamma$ be a finite group acting on a simple Lie algebra $\mathfrak{g}$ and acting on a $s$-pointed projective curve $(\Sigma, \vec{p}=\{p_1, \dots, p_s\})$ faithfully (for $s\geq 1$). Also, let an integrable highest weight module $\mathscr{H}_c
Externí odkaz:
http://arxiv.org/abs/2207.09578
Autor:
Hong, Jiuzu, Korkeathikhun, Korkeat
Publikováno v:
Represent. Theory 26 (2022), 585-615
We relate the geometry of Schubert varieties in twisted affine Grassmannian and the nilpotent varieties in symmetric spaces. This extends some results of Achar-Henderson in the twisted setting. We also get some applications to the geometry of the ord
Externí odkaz:
http://arxiv.org/abs/2101.11677
Autor:
Besson, Marc, Hong, Jiuzu
Let $\mathscr{G}$ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb{C}$, excluding the absolutely special case of $A_{2\ell}^{(2)}$. Using the methods and results of Zhu, we prove a duality theorem
Externí odkaz:
http://arxiv.org/abs/2010.11357
Autor:
Besson, Marc, Hong, Jiuzu
Let $\overline{\mathtt{X}}_\lambda$ be the closure of the $\mathtt{I}$-orbit $\mathtt{X}_\lambda$ in the affine Grassmanian $\mathtt{Gr}$ of a simple algebraic group $G$ of adjoint type, where $\mathtt{I}$ is the Iwahori group and $\lambda$ is a cowe
Externí odkaz:
http://arxiv.org/abs/1906.09341
Autor:
Hong, Jiuzu, Kumar, Shrawan
Publikováno v:
Compositio Mathematica, volume 159 (2023), pages 2191-2259
We study the spaces of twisted conformal blocks attached to a $\Gamma$-curve $\Sigma$ with marked $\Gamma$-orbits and an action of $\Gamma$ on a simple Lie algebra $\mathfrak{g}$, where $\Gamma$ is a finite group. We prove that if $\Gamma$ stabilizes
Externí odkaz:
http://arxiv.org/abs/1807.00118
Autor:
Hong, Jiuzu
Publikováno v:
Contemporary Mathematics, Volume 713,Pages 135-147, 2018
In this note we describe a general elementary procedure to attach a fusion ring to any Kac-Moody algebra of affine type. In the case of untwisted affine algebras, they are usual fusion rings in the literature. In the case of twisted affine algebras,
Externí odkaz:
http://arxiv.org/abs/1708.07919
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