The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties

J. Weyman

Colloquium Mathematicae (1998)

  • Volume: 76, Issue: 2, page 243-263
  • ISSN: 0010-1354

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Weyman, J.. "The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties." Colloquium Mathematicae 76.2 (1998): 243-263. <http://eudml.org/doc/210563>.

@article{Weyman1998,
author = {Weyman, J.},
journal = {Colloquium Mathematicae},
keywords = {equivariant modules; Grothendieck group; desingularizations of the determinantal variety; push downs},
language = {eng},
number = {2},
pages = {243-263},
title = {The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties},
url = {http://eudml.org/doc/210563},
volume = {76},
year = {1998},
}

TY - JOUR
AU - Weyman, J.
TI - The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
JO - Colloquium Mathematicae
PY - 1998
VL - 76
IS - 2
SP - 243
EP - 263
LA - eng
KW - equivariant modules; Grothendieck group; desingularizations of the determinantal variety; push downs
UR - http://eudml.org/doc/210563
ER -

References

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  2. [A-B-W] K. Akin, D. A. Buchsbaum and J. Weyman, Resolutions of determinantal ideals; the submaximal minors, Adv. Math. 39 (1981), 1-30. Zbl0474.14035
  3. [Ar] M. Artale, Syzygies of a certain family of generically imperfect modules, J. Algebra 167 (1994), 233-257. Zbl0809.13007
  4. [Bo] G. Boffi, The universal form of the Littlewood-Richardson rule, Adv. Math. 68 (1988), 40-63. Zbl0659.20035
  5. [B] D. Buchsbaum, Complexes associated with the minors of a matrix, Sympos. Math. 4 (1970), 255-283. 
  6. [B-E] D. Buchsbaum and D. Eisenbud, Generic free resolutions and a family of generically perfect ideals, Adv. Math. 18 (1975), 245-301. Zbl0336.13007
  7. [D] S. Donkin, Rational Representations of Algebraic Groups, Lecture Notes in Math. 1140, Springer, Berlin, 1985. Zbl0586.20017
  8. [J] J. Jantzen, Representations of Algebraic Groups, Pure and Appl. Math. 131, Academic Press, Boston, 1987. 
  9. [MD] I. G. MacDonald, Symmetric Functions and Hall Polynomials, Oxford Univ. Press, Oxford, 1979. Zbl0487.20007
  10. [L] A. Lascoux, Syzygies des variétés déterminantales, Adv. Math. 30 (1978), 202-237. Zbl0394.14022
  11. [W] H. Weyl, The Classical Groups, Princeton Univ. Press, 1973 (8th edition). 
  12. [Z] A. Zelevinsky, Resolvents, dual pairs and character formulas, Funktsional. Anal. i Prilozhen. 21 (2) (1987), 74-75 (in Russian). 

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