Complexes associated with trace and evaluation. Another approach to Lascoux's resolution

@article{Pragacz1985ComplexesAW,
  title={Complexes associated with trace and evaluation. Another approach to Lascoux's resolution},
  author={Piotr Pragacz and Jerzy Weyman},
  journal={Advances in Mathematics},
  year={1985},
  volume={57},
  pages={163-207}
}
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References

SHOWING 1-9 OF 9 REFERENCES
Invariant theory and the generic perfection of determinantal loci
0. Introduction. Let R be a commutative Noetherian ring with identity and let I be a proper ideal of R. A classical result of Krull is that if I can be generated by r elements then the rank or
Dimension projective finie et cohomologie locale
© Publications mathématiques de l’I.H.É.S., 1973, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://www.
Young diagrams and determinantal varieties
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