The Michigan Mathematical Journal
previous :: next

Graded cofinite rings of differential operators

Friedrich Knop
Source: Michigan Math. J. Volume 54, Issue 1 (2006), 3-24.
First Page: Show Hide
Primary Subjects: 16S32, 16W22
Secondary Subjects: 13A50
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mmj/1144437435
Digital Object Identifier: doi:10.1307/mmj/1144437435
Mathematical Reviews number (MathSciNet): MR2214785
Zentralblatt MATH identifier: 05140508

References

J. Bernstein, I. Gelfand, and S. Gelfand, Differential operators on a cubic cone, Uspekhi Mat. Nauk 27 (1972), 185--190.
Mathematical Reviews (MathSciNet): MR385159
P. Cohn, Free rings and their relations, 2nd ed., London Math. Soc. Monogr., 19, Academic Press, London, 1985.
Mathematical Reviews (MathSciNet): MR800091
Zentralblatt MATH: 0659.16001
D. Eisenbud, Commutative algebra. With a view toward algebraic geometry, Grad. Texts in Math., 150, Springer-Verlag, New York, 1995.
Mathematical Reviews (MathSciNet): MR1322960
Zentralblatt MATH: 0819.13001
T. Levasseur and J. Stafford, Invariant differential operators and an homomorphism of Harish-Chandra, J. Amer. Math. Soc. 8 (1995), 365--372.
Mathematical Reviews (MathSciNet): MR1284849
Digital Object Identifier: doi:10.2307/2152821
G. Másson, Rings of differential operators and étale homomorphisms, Ph.D. dissertation, Massachusetts Institute of Technology, 1991, $\langle $homepage.mac.com/gisli.masson/thesis/$\rangle .$
G. Schwarz, Differential operators on quotients of simple groups, J. Algebra 169 (1994), 248--273.
Mathematical Reviews (MathSciNet): MR1296592
Digital Object Identifier: doi:10.1006/jabr.1994.1282
------, Lifting differential operators from orbit spaces, Ann. Sci. École Norm. Sup. (4) 28 (1995), 253--305.
Mathematical Reviews (MathSciNet): MR1326669
------, Invariant differential operators, Proceedings of the International Congress of Mathematicians (Zürich, 1994), vol. 1, pp. 333--341, Birkhäuser, Basel, 1995.
Mathematical Reviews (MathSciNet): MR1403934
Zentralblatt MATH: 0857.13025
S. Smith and J. Stafford, Differential operators on an affine curve, Proc. London Math. Soc. (3) 56 (1988), 229--259.
Mathematical Reviews (MathSciNet): MR922654
M. Van den Bergh, Differential operators on semi-invariants for tori and weighted projective spaces, Topics in invariant theory (M.-P. Malliavin, ed.) Lecture Notes in Math., 1478, pp. 255--272, Springer-Verlag, Berlin, 1991.
Mathematical Reviews (MathSciNet): MR1180993
Zentralblatt MATH: 0802.13005
------, Some rings of differential operators for $\text\rm Sl_2$-invariants are simple, Contact Franco-Belge en Algèbre (Diepenbeek, 1993), J. Pure Appl. Algebra 107 (1996), 309--335.
Mathematical Reviews (MathSciNet): MR1383180
Digital Object Identifier: doi:10.1016/0022-4049(95)00072-0
N. Wallach, Invariant differential operators on a reductive Lie algebra and Weyl group representations, J. Amer. Math. Soc. 6 (1993), 779--816.
Mathematical Reviews (MathSciNet): MR1212243
Digital Object Identifier: doi:10.2307/2152740
U. Zannier, A note on traces of differential forms, J. Pure Appl. Algebra 142 (1999), 91--97.
Mathematical Reviews (MathSciNet): MR1716049
Digital Object Identifier: doi:10.1016/S0022-4049(98)00045-0
previous :: next

2012 © The University of Michigan

The Michigan Mathematical Journal

The Michigan Mathematical Journal