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Russian Mathematical Surveys, 1972, Volume 27, Issue 1, Pages 169–174
DOI: https://doi.org/10.1070/RM1972v027n01ABEH001366
(Mi rm5010)
 

This article is cited in 23 scientific papers (total in 23 papers)

Differential operators on a cubic com

J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand
References:
Bibliographic databases:
Document Type: Article
UDC: 513.834+517.4
MSC: 47L07, 47F05, 47B37
Language: English
Original paper language: Russian
Citation: J. H. Bernstein, I. M. Gel'fand, S. I. Gel'fand, “Differential operators on a cubic com”, Russian Math. Surveys, 27:1 (1972), 169–174
Citation in format AMSBIB
\Bibitem{BerGelGel72}
\by J.~H.~Bernstein, I.~M.~Gel'fand, S.~I.~Gel'fand
\paper Differential operators on a~cubic com
\jour Russian Math. Surveys
\yr 1972
\vol 27
\issue 1
\pages 169--174
\mathnet{http://mi.mathnet.ru/eng/rm5010}
\crossref{https://doi.org/10.1070/RM1972v027n01ABEH001366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=385159}
\zmath{https://zbmath.org/?q=an:0253.58009|0257.58010}
Linking options:
  • https://www.mathnet.ru/eng/rm5010
  • https://doi.org/10.1070/RM1972v027n01ABEH001366
  • https://www.mathnet.ru/eng/rm/v27/i1/p185
  • This publication is cited in the following 23 articles:
    1. Rachel N. Diethorn, Jack Jeffries, Claudia Miller, Nicholas Packauskas, Josh Pollitz, Hamidreza Rahmati, Sophia Vassiliadou, “Resolutions of Differential Operators of Low Order for an Isolated Hypersurface Singularity”, Michigan Math. J., -1:-1 (2024)  crossref
    2. Jack Jeffries, Anurag K. Singh, “Differential operators on classical invariant rings do not lift modulo p”, Advances in Mathematics, 432 (2023), 109276  crossref
    3. T. Levasseur, J. T. Stafford, “Higher symmetries of powers of the Laplacian and rings of differential operators”, Compositio Math., 153:4 (2017), 678  crossref
    4. Norihiro Nakashima, “The Noetherian Properties of the Rings of Differential Operators on Central 2-Arrangements”, Communications in Algebra, 41:6 (2013), 2114  crossref
    5. Mutsumi Saito, “Primitive ideals of the ring of differential operators on an affine toric variety”, Tohoku Math. J. (2), 59:1 (2007)  crossref
    6. Levasseur T., Stafford J.T., “Differential operators and cohomology groups on the basic affine space”, Studies in Lie Theory - DEDICATED TO A. JOSEPH ON HIS SIXTIETH BIRTHDAY, Progress in Mathematics, 243, 2006, 377–403  isi
    7. Thierry Levasseur, J. T. Stafford, Progress in Mathematics, 243, Studies in Lie Theory, 2006, 377  crossref
    8. Friedrich Knop, “Graded cofinite rings of differential operators”, Michigan Math. J., 54:1 (2006)  crossref
    9. Berest, Y, “Cherednik algebras and differential operators on quasi-invariants”, Duke Mathematical Journal, 118:2 (2003), 279  crossref  mathscinet  zmath  isi
    10. William N. Traves, “Tight Closure and Differential Simplicity”, Journal of Algebra, 228:2 (2000), 457  crossref
    11. William N. Traves, “Differential operators on monomial rings”, Journal of Pure and Applied Algebra, 136:2 (1999), 183  crossref
    12. Gerald W. Schwarz, Proceedings of the International Congress of Mathematicians, 1995, 333  crossref
    13. S. Paul Smith, “Polynomial solutions to constant coefficient differential equations”, Trans. Amer. Math. Soc., 329:2 (1992), 551  crossref
    14. Michel Van den Bergh, Lecture Notes in Mathematics, 1478, Topics in Invariant Theory, 1991, 255  crossref
    15. Ian M. Musson, “Differential operators on some affine cones”, Arch. Math, 56:1 (1991), 86  crossref
    16. Paul Burchard, “Differential operators on cones”, Duke Math. J., 63:1 (1991)  crossref
    17. Thierry Levasseur, Lecture Notes in Mathematics, 1404, Séminaire d'Algèbre Paul Dubreil et Marie-Paul Malliavin, 1989, 269  crossref
    18. M.-P. Malliavin, Lecture Notes in Mathematics, 1328, Ring Theory, 1988, 173  crossref
    19. Jerry L. Muhasky, “The differential operator ring of an affine curve”, Trans. Amer. Math. Soc., 307:2 (1988), 705  crossref
    20. M. Chamarie, J. T. Stafford, “When rings of differential operators are maximal orders”, Math Proc Camb Phil Soc, 102:3 (1987), 399  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:94
    First page:6
     
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