Rank ideals and Capelli identities
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Victor Protsak
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Article
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2004
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Elsevier Science
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English
β 232 KB
We define and study a family of completely prime rank ideals in the universal enveloping algebra U(gl n ). A rank ideal is a noncommutative analogue of a determinantal ideal, the defining ideal for the closure of the set of n Γ n matrices of fixed rank. We introduce a notion of rank for gl n -module