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### Root subgroups of simply connected Chevalley groups and their generators

I'm looking for a detailed mapping of the root subgroups of the simply connected Chevalley groups of type other than $A_n$, and their generators into $\operatorname{GL}_n(\mathbb{C})$(relative to a ...
54 views

### Is the pullback of an ample bundle minus the exceptional divisor is ample

If X is a normal projective variety with an ample line bundle $L$, and $\pi:Y\to X$ a resolution of $X$ and $E$ be the exceptional divisor, then is it true that $A\pi^{\star}L-[E]$ is always ample for ...
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### Maximum Principles in Parabolic PDE with Neumann Condition

I am looking for some maximum principles and comparison results for parabolic equations. The most complete book I've found on this subject is: Murray Protter, Hans Weinberger - Maximum Principles in ...
33 views

### Units in the coordinate ring on a reductive group

Let $K$ be a field and $G$ a connected reductive group over $K$. Can we describe $K[G]^{*}$?
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### Tannaka-Krein duality in Chari-Pressley's book

I am not sure that this was not discussed before, so excuse me in this case. This can be considered as a special case of my previous question here. V.Chari and A.N.Pressley in their "Guide to Quantum ...
Let $G$ be a connected complex semisimple algebraic group and $T\subset B\subset G$ a choice of maximal torus and Borel subgroup. Let $\Phi$ be the root system and $\Pi\subset\Phi$ the set of simple ...
Do there exist 3 absolutely irreducible homogeneous polynomials in $\mathbb{Z}[a, b, c, d, e, f]$ such that each one defines a hypersurface in $\mathbb{P}^5_{\mathbb{Z}}$ smooth over \$Spec(\mathbb{Z})...