Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16 ◽

10.1145/2930889.2930918 ◽

2016 ◽

Author(s):

Katsusuke Nabeshima ◽

Katsuyoshi Ohara ◽

Shinichi Tajima

Keyword(s):

Differential Operators ◽

D Modules ◽

Rings Of Differential Operators ◽

Comprehensive Gröbner Systems

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Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2019.05.009 ◽

2020 ◽

Vol 224 (1) ◽

pp. 320-361

Author(s):

Luis Narváez Macarro

Keyword(s):

Differential Operators ◽

Enveloping Algebras ◽

Rings Of Differential Operators

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A Note on Cocycle Twisted Rings of Differential Operators

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-15.3.409 ◽

1977 ◽

Vol s2-15 (3) ◽

pp. 409-414 ◽

Author(s):

J. M. McNaughton

Keyword(s):

Differential Operators ◽

Rings Of Differential Operators

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Gelfand-Kirillov Dimension, Hilbert-Samuel polynomials and Rings of Differential Operators

Perspectives in Ring Theory ◽

10.1007/978-94-009-2985-2_20 ◽

1988 ◽

pp. 233-238

Author(s):

J. C. McConnell ◽

J. C. Robson

Keyword(s):

Differential Operators ◽

Rings Of Differential Operators ◽

Kirillov Dimension

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Gröbner Bases in Rings of Differential Operators

Gröbner Bases and Applications ◽

10.1017/cbo9780511565847.021 ◽

1998 ◽

pp. 367-380 ◽

Author(s):

Mariano Insa ◽

Franz Pauer

Keyword(s):

Differential Operators ◽

Gröbner Bases ◽

Grobner Bases ◽

Rings Of Differential Operators

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The Global Dimension of Rings of Differential Operators on Projective Spaces

Bulletin of the London Mathematical Society ◽

10.1112/blms/24.2.148 ◽

1992 ◽

Vol 24 (2) ◽

pp. 148-158 ◽

Author(s):

Brad Shelton

Keyword(s):

Differential Operators ◽

Projective Spaces ◽

Global Dimension ◽

Rings Of Differential Operators

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Birationally isomorphic commutative rings of differential operators

Functional Analysis and Its Applications ◽

10.1007/bf01681446 ◽

1978 ◽

Vol 12 (3) ◽

pp. 234-236 ◽

Author(s):

V. V. Sokolov

Keyword(s):

Differential Operators ◽

Commutative Rings ◽

Rings Of Differential Operators

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Some rings of differential operators which are Morita equivalent to the Weyl algebra $A\sb 1$

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1986-0848868-1 ◽

1986 ◽

Vol 98 (1) ◽

pp. 29-29

Author(s):

Ian M. Musson

Keyword(s):

Weyl Algebra ◽

Differential Operators ◽

Morita Equivalent ◽

Rings Of Differential Operators

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The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic

Journal of Pure and Applied Algebra ◽

10.1016/j.jpaa.2008.03.009 ◽

2008 ◽

Vol 212 (10) ◽

pp. 2320-2337 ◽

Author(s):

V.V. Bavula

Keyword(s):

Differential Operators ◽

Prime Characteristic ◽

Polynomial Algebras ◽

Rings Of Differential Operators

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Module Structure of Certain Rings of Differential Operators

Algebras and Representation Theory ◽

10.1007/s10468-019-09905-4 ◽

2019 ◽

Vol 23 (4) ◽

pp. 1637-1657

Author(s):

N. Caro-Tuesta ◽

D. Levcovitz

Keyword(s):

Differential Operators ◽

Module Structure ◽

Rings Of Differential Operators

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Comprehensive Gröbner systems in PBW algebras, Bernstein–Sato ideals and holonomic D-modules

Journal of Symbolic Computation ◽

10.1016/j.jsc.2017.11.010 ◽

2018 ◽

Vol 89 ◽

pp. 146-170 ◽

Author(s):

Katsusuke Nabeshima ◽

Katsuyoshi Ohara ◽

Shinichi Tajima

Keyword(s):

D Modules ◽

Comprehensive Gröbner Systems

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