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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
4
votes
1
answer
309
views
How to write down the connection morphism in the long exact sequence in Čech cohomology expl...
Fix an integer $k$. Let $X=G/P$ be a complex rational homogeneous variety. I assume here $G$ is a simply connected semi simple complex Lie group and $P=P_k$ is a maximal parabolic subgroup defined by …
1
vote
1
answer
157
views
How to compute the index of a given weight?
I am learning the Borel–Weil–Bott theorem in rational homogeneous varieties. Working on them, I need to know two questions:
How to judge if a weight is singular?
How to compute the index of a given …