We prove a strong characteristic-free analogue of the classical adjoint formula s Ξ» s Β΅ f = s Ξ»/Β΅ f in the ring of symmetric functions. This is done by showing that the representative of a suitably chosen functor involving a tensor product is the skew Weyl module. By "strong" we mean that this repre
β¦ LIBER β¦
Schur Modules, Weyl Modules, and Capelli Operators
β Scribed by Marilena Barnabei
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 228 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0001-8708
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We present a generalization of the classical Schur modules of GL(n) exhibiting the same interplay among algebra, geometry, and combinatorics. A generalized Young diagram D is an arbitrary finite subset of N\_N. For each D, we define the Schur module S D of GL(n). We introduce a projective variety F