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Symmetric power of the Grassmann variety

by: Yu
(15 Dec 2011)  Key: citeulike:11229384

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Abstract

In this work, we find base and dimension of a subspace appeared in works by V. A. Sharafutdinov. The same problem, but expressed in terms of polynomials from matrix minors, was initially solved by W. Hodge. The new result of this paper is the explicit base of the space and considerable simplification of the formula for its dimension.


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