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Results tagged with linear-algebra
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user 86315
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
7
votes
2
answers
4k
views
Number of Plücker relations for a Grassmannian
Is it true that the number of Plücker relations for a Grassmannian $Gr(k,n)$ is equal to the dimension $k(n-k)$ of said Grassmannian? So far, for $Gr(2,5)$, I get exactly five Plücker relations: $$p_{ …
- 349
0
votes
1
answer
507
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How do Schubert classes form a basis for $H^{*}(Gr(k, n))$?
I've gone through many texts in algebraic geometry, specifically, Schubert calculus. They all claim that the Schubert classes $[\Omega_{\lambda}]$ form a basis for the cohomology ring of the complex G …
- 349