Projective Normality of Weyl Group Quotients

Proceedings Mathematical Sciences

S S Kannan²  S K Pattanayak¹ 

[1] $$;Chennai Mathematical Institute, Plot H, SIPCOT IT Park, Padur Post Office, Siruseri 0 0, India$$

关键词: Line bundle;    polarizations.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this note, we prove that for the standard representation 𝑉 of the Weyl group 𝑊 of a semi-simple algebraic group of type $A_n,B_n,C_n,D_n,F_4$ and $G_2$ over $mathbb{C}$, the projective variety $mathbb{P}(V^m)/W$ is projectively normal with respect to the descent of $mathcal{O}(1)^{otimes|W|}$, where $V^m$ denote the direct sum of 𝑚 copies of 𝑉.

【 授权许可】

Unknown