The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits

• Autorzy: J. Klimek , W. Kraśkiewicz , J. Weyman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 1
• Strony: 105-118

Daty

wydano

1998

otrzymano

1997-12-18

poprawiono

1998-02-04

Twórcy

autor

J. Klimek

• Faculty of Mathematics and Informatics, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

W. Kraśkiewicz

• Faculty of Mathematics and Informatics, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

J. Weyman

• Department of Mathematics, Northeastern University, Boston, Massachusetts 02115, U.S.A.

Bibliografia

• [A] M. Aschbacher, The 27-dimensional module for E_6. I, Invent. Math. 89 (1987), 159-195.
• [D] M. Demazure, A very simple proof of Bott's theorem, ibid. 33 (1976), 271-272.
• [H-U] R. Howe and T. Umeda, The Capelli identity, the double commutant theorem, and multiplicity free actions, Math. Ann. 290 (1991), 565-619.
• [I] J. Igusa, A classification of spinors up to dimension twelve, Amer. J. Math. 92 (1970), 997-1028.
• [K] V. Kac, Some remarks on nilpotent orbits, J. Algebra 64 (1980), 190-213.
• [W] J. Weyman, The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varietes, Colloq. Math. 76 (1998), 243-263.