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Jordan algebras and Capelli identities

โœ Scribed by Bertram Kostant; Siddhartha Sahi


Publisher
Springer-Verlag
Year
1993
Tongue
English
Weight
407 KB
Volume
112
Category
Article
ISSN
0020-9910

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Rank ideals and Capelli identities
โœ Victor Protsak ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ร— n matrices of fixed rank. We introduce a notion of rank for gl n -module