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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

2 votes
0 answers
173 views

Quotient of a finite morphism by an action of a reductive group is still finite?

Let $X, Y$ be two quasi-affine schemes over $\mathbb{C}$. Let $G$ be a reductive algebraic group. Suppose that we are given an action of $G$ on $X,Y$ and a $G$-equivariant finite morphism $X \rightarr …
Vas's user avatar
  • 143
7 votes
0 answers
250 views

$D(\mathcal{O}(n))$ via generators and relations

Let $V$ be a complex vector space. Consider the algebra $D(\mathbb{P}(V),\mathcal{O}(n)))$ of global differential operators from line bundle $\mathcal{O}(n)$ to itself, here $n \in \mathbb{Z}_{\geqsla …
Vas's user avatar
  • 143
5 votes
1 answer
163 views

Ideal of the boundary of $G/U \subset \overline{G/U}$

Let $G$ be a semi simple algebraic group, $B \subset G$ is a Borel subgroup and $U \subset B$ is the unipotent radical of $B$. We can consider the variety $G/U$. Let us also denote $\overline{G/U}:=\o …
Vas's user avatar
  • 143