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Donkin, Stephen

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Author ID: donkin.stephen Recent zbMATH articles by "Donkin, Stephen"
Published as: Donkin, Stephen; Donkin, S.
External Links: MGP
Documents Indexed: 73 Publications since 1980, including 2 Books

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 1,029 times in 615 Documents Cited by Year
On tilting modules for algebraic groups. Zbl 0798.20035
Donkin, Stephen
125
1993
The \(q\)-Schur algebra. Zbl 0927.20003
Donkin, S.
115
1998
Rational representations of algebraic groups: Tensor products and filtrations. Zbl 0586.20017
Donkin, Stephen
75
1985
On Schur algebras and related algebras. II. Zbl 0634.20019
Donkin, Stephen
60
1987
Quantum \(GL_ n\). Zbl 0734.20018
Dipper, Richard; Donkin, Stephen
59
1991
Invariants of several matrices. Zbl 0826.20036
Donkin, Stephen
56
1992
On Schur algebras and related algebras. I. Zbl 0606.20038
Donkin, S.
56
1986
A filtration for rational modules. Zbl 0455.20029
Donkin, Stephen
31
1981
The normality of closures of conjugacy classes of matrices. Zbl 0822.20045
Donkin, Stephen
29
1990
Symmetric and exterior powers, linear source modules and representations of Schur superalgebras. Zbl 1016.20028
Donkin, Stephen
29
2001
Finite resolutions of modules for reductive algebraic groups. Zbl 0607.20023
Donkin, S.
22
1986
On Schur algebras and related algebras. IV: The blocks of the Schur algebras. Zbl 0832.20013
Donkin, Stephen
20
1994
The blocks of a semisimple algebraic group. Zbl 0458.20036
Donkin, Stephen
18
1980
Polynomial invariants of representations of quivers. Zbl 0816.16015
Donkin, Stephen
18
1994
Skew modules for reductive groups. Zbl 0662.20032
Donkin, Stephen
18
1988
Tilting modules, symmetric functions, and the module structure of the free Lie algebra. Zbl 0984.20029
Donkin, Stephen; Erdmann, Karin
18
1998
Standard homological properties for quantum \(GL_ n\). Zbl 0858.17010
Donkin, Stephen
16
1996
Good filtrations of rational modules for reductive groups. Zbl 0648.20048
Donkin, S.
16
1987
Hopf complements and injective comodules for algebraic groups. Zbl 0442.20033
Donkin, Stephen
15
1980
A note on decomposition numbers for general linear groups and symmetric groups. Zbl 0557.20005
Donkin, S.
14
1985
On tilting modules and invariants for algebraic groups. Zbl 0835.20054
Donkin, Stephen
13
1994
The Brauer algebra and the symplectic Schur algebra. Zbl 1193.14064
Donkin, Stephen; Tange, Rudolf
12
2010
Invariant functions on matrices. Zbl 0826.20015
Donkin, Stephen
12
1993
A note on decomposition numbers for reductive algebraic groups. Zbl 0505.20028
Donkin, Stephen
11
1983
Invariants of unipotent radicals. Zbl 0627.14013
Donkin, Stephen
11
1988
On projective modules for algebraic groups. Zbl 0854.20055
Donkin, Stephen
9
1996
Representations of symplectic groups and the symplectic tableaux of R. C. King. Zbl 0748.05094
Donkin, Stephen
8
1991
Infinitesimal invariants of algebraic groups. Zbl 0797.20033
Donkin, Stephen
8
1992
On conjugating representations and adjoint representations of semisimple groups. Zbl 0639.20021
Donkin, S.
8
1988
On \(Ext^ 1 \)for semisimple groups and infinitesimal subgroups. Zbl 0502.20023
Donkin, Stephen
7
1982
The cohomology of line bundles on the three-dimensional flag variety. Zbl 1115.14008
Donkin, Stephen
7
2007
On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010
Donkin, Stephen; Reiten, Idun
7
1994
On a question of Verma. Zbl 0441.14014
Donkin, Stephen
7
1980
Composition factors of tensor products of truncated symmetric powers. Zbl 1332.20047
Donkin, Stephen; Geranios, Haralampos
6
2015
Polycyclic groups, Lie algebras and algebraic groups. Zbl 0453.20028
Donkin, Stephen
6
1981
On the Noetherian property in endomorphism rings of certain comodules. Zbl 0464.16007
Donkin, Stephen
6
1981
Locally finite representations of polycyclic-by-finite groups. Zbl 0483.20004
Donkin, Stephen
6
1982
A note on the characters of the projective modules for the infinitesimal subgroups of a semisimple algebraic group. Zbl 0499.20026
Donkin, Stephen
6
1982
On Schur algebras and related algebras. III: Integral representations. Zbl 0832.20012
Donkin, Stephen
6
1994
Space groups and groups of prime-power order. VIII: Pro-p-groups of finite coclass and p-adic Lie algebras. Zbl 0651.20038
Donkin, Stephen
6
1987
Endomorphism algebras of some modules for Schur algebras and representation dimension. Zbl 1328.20067
Donkin, Stephen; Geranios, Haralampos
5
2014
On projective and injective polynomial modules. Zbl 1086.20023
De Visscher, Maud; Donkin, Stephen
5
2005
Comparing \(\text{GL}_n\)-representations by characteristic-free isomorphisms between generalized Schur algebras. Zbl 1151.20035
Fang, Ming; Henke, Anne; Koenig, Steffen; Donkin, Stephen
5
2008
Representations of Hecke algebras and characters of symmetric groups. Zbl 1061.20003
Donkin, Stephen
5
2003
On Schur algebras and related algebras. VI: Some remarks on rational and classical Schur algebras. Zbl 1334.20042
Donkin, Stephen
4
2014
Invariants of Specht modules. Zbl 1339.20011
Donkin, Stephen; Geranios, Haralampos
3
2015
Composition factors of tensor products of symmetric powers. Zbl 1335.20048
Donkin, Stephen; Geranios, Haralampos
2
2015
Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups. Zbl 1370.20035
Donkin, Stephen
2
2017
The restriction of the regular module for a quantum group. Zbl 0881.17007
Donkin, Stephen
2
1997
On the Hopf algebra dual of an enveloping algebra. Zbl 0485.17003
Donkin, Stephen
2
1982
On the existence of Auslander-Reiten sequences of group representations. II. Zbl 0933.20030
Donkin, Stephen
2
1998
On the existence of Auslander-Reiten sequences of group representations. I. Zbl 0930.20040
Donkin, Stephen
2
1998
A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\). Zbl 1083.14521
Donkin, Stephen
2
2002
Polynomially and infinitesimally injective modules. Zbl 1298.20055
Donkin, Stephen; Geranios, Haralampos
2
2013
Some remarks on Gill’s theorems on Young modules. Zbl 1323.20007
Donkin, Stephen
1
2015
Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. Zbl 1348.20049
Donkin, Stephen; Santana, Ana Paula; Yudin, Ivan
1
2014
Decompositions of some Specht modules. I. Zbl 1452.20007
Donkin, Stephen; Geranios, Haralampos
1
2020
Injective Schur modules. Zbl 1391.20031
Donkin, Stephen; Geranios, Haralampos
1
2017
Rationally injective modules for semisimple algebraic groups as direct limits. Zbl 0434.20023
Donkin, Stephen
1
1980
Blocks of rational representations of a semisimple algebraic group. Zbl 0437.20033
Donkin, Stephen
1
1980
On free modules for finite subgroups of algebraic groups. Zbl 0866.20036
Donkin, Stephen
1
1997
Some remarks on the ring of twisted tilting modules for algebraic groups. Zbl 1210.20040
Datt, Matrapu Sumanth; Donkin, Stephen
1
2009
\(K_{0}\) of Hall’s universal group. Zbl 1106.19002
Donkin, Stephen
1
2006
Some relative character theory. Zbl 0834.20006
Donkin, Stephen
1
1995
On Kulkarni’s theorems on degree reduction for polynomial modules. Zbl 1035.20037
Donkin, Stephen
1
2003
An introduction to the Lusztig conjecture. Zbl 0923.20036
Donkin, Stephen
1
1998
First degree cohomology of Specht modules and extensions of symmetric powers. Zbl 1425.20025
Donkin, Stephen; Geranios, Haralampos
1
2019
A note on the adjoint action of a semisimple group on the coordinate algebra of an infinitesimal subgroup. Zbl 1405.20034
Donkin, Stephen
1
2019
Decompositions of some Specht modules. I. Zbl 1452.20007
Donkin, Stephen; Geranios, Haralampos
1
2020
First degree cohomology of Specht modules and extensions of symmetric powers. Zbl 1425.20025
Donkin, Stephen; Geranios, Haralampos
1
2019
A note on the adjoint action of a semisimple group on the coordinate algebra of an infinitesimal subgroup. Zbl 1405.20034
Donkin, Stephen
1
2019
Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups. Zbl 1370.20035
Donkin, Stephen
2
2017
Injective Schur modules. Zbl 1391.20031
Donkin, Stephen; Geranios, Haralampos
1
2017
Composition factors of tensor products of truncated symmetric powers. Zbl 1332.20047
Donkin, Stephen; Geranios, Haralampos
6
2015
Invariants of Specht modules. Zbl 1339.20011
Donkin, Stephen; Geranios, Haralampos
3
2015
Composition factors of tensor products of symmetric powers. Zbl 1335.20048
Donkin, Stephen; Geranios, Haralampos
2
2015
Some remarks on Gill’s theorems on Young modules. Zbl 1323.20007
Donkin, Stephen
1
2015
Endomorphism algebras of some modules for Schur algebras and representation dimension. Zbl 1328.20067
Donkin, Stephen; Geranios, Haralampos
5
2014
On Schur algebras and related algebras. VI: Some remarks on rational and classical Schur algebras. Zbl 1334.20042
Donkin, Stephen
4
2014
Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. Zbl 1348.20049
Donkin, Stephen; Santana, Ana Paula; Yudin, Ivan
1
2014
Polynomially and infinitesimally injective modules. Zbl 1298.20055
Donkin, Stephen; Geranios, Haralampos
2
2013
The Brauer algebra and the symplectic Schur algebra. Zbl 1193.14064
Donkin, Stephen; Tange, Rudolf
12
2010
Some remarks on the ring of twisted tilting modules for algebraic groups. Zbl 1210.20040
Datt, Matrapu Sumanth; Donkin, Stephen
1
2009
Comparing \(\text{GL}_n\)-representations by characteristic-free isomorphisms between generalized Schur algebras. Zbl 1151.20035
Fang, Ming; Henke, Anne; Koenig, Steffen; Donkin, Stephen
5
2008
The cohomology of line bundles on the three-dimensional flag variety. Zbl 1115.14008
Donkin, Stephen
7
2007
\(K_{0}\) of Hall’s universal group. Zbl 1106.19002
Donkin, Stephen
1
2006
On projective and injective polynomial modules. Zbl 1086.20023
De Visscher, Maud; Donkin, Stephen
5
2005
Representations of Hecke algebras and characters of symmetric groups. Zbl 1061.20003
Donkin, Stephen
5
2003
On Kulkarni’s theorems on degree reduction for polynomial modules. Zbl 1035.20037
Donkin, Stephen
1
2003
A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\). Zbl 1083.14521
Donkin, Stephen
2
2002
Symmetric and exterior powers, linear source modules and representations of Schur superalgebras. Zbl 1016.20028
Donkin, Stephen
29
2001
The \(q\)-Schur algebra. Zbl 0927.20003
Donkin, S.
115
1998
Tilting modules, symmetric functions, and the module structure of the free Lie algebra. Zbl 0984.20029
Donkin, Stephen; Erdmann, Karin
18
1998
On the existence of Auslander-Reiten sequences of group representations. II. Zbl 0933.20030
Donkin, Stephen
2
1998
On the existence of Auslander-Reiten sequences of group representations. I. Zbl 0930.20040
Donkin, Stephen
2
1998
An introduction to the Lusztig conjecture. Zbl 0923.20036
Donkin, Stephen
1
1998
The restriction of the regular module for a quantum group. Zbl 0881.17007
Donkin, Stephen
2
1997
On free modules for finite subgroups of algebraic groups. Zbl 0866.20036
Donkin, Stephen
1
1997
Standard homological properties for quantum \(GL_ n\). Zbl 0858.17010
Donkin, Stephen
16
1996
On projective modules for algebraic groups. Zbl 0854.20055
Donkin, Stephen
9
1996
Some relative character theory. Zbl 0834.20006
Donkin, Stephen
1
1995
On Schur algebras and related algebras. IV: The blocks of the Schur algebras. Zbl 0832.20013
Donkin, Stephen
20
1994
Polynomial invariants of representations of quivers. Zbl 0816.16015
Donkin, Stephen
18
1994
On tilting modules and invariants for algebraic groups. Zbl 0835.20054
Donkin, Stephen
13
1994
On Schur algebras and related algebras. V: Some quasi-hereditary algebras of finite type. Zbl 0832.16010
Donkin, Stephen; Reiten, Idun
7
1994
On Schur algebras and related algebras. III: Integral representations. Zbl 0832.20012
Donkin, Stephen
6
1994
On tilting modules for algebraic groups. Zbl 0798.20035
Donkin, Stephen
125
1993
Invariant functions on matrices. Zbl 0826.20015
Donkin, Stephen
12
1993
Invariants of several matrices. Zbl 0826.20036
Donkin, Stephen
56
1992
Infinitesimal invariants of algebraic groups. Zbl 0797.20033
Donkin, Stephen
8
1992
Quantum \(GL_ n\). Zbl 0734.20018
Dipper, Richard; Donkin, Stephen
59
1991
Representations of symplectic groups and the symplectic tableaux of R. C. King. Zbl 0748.05094
Donkin, Stephen
8
1991
The normality of closures of conjugacy classes of matrices. Zbl 0822.20045
Donkin, Stephen
29
1990
Skew modules for reductive groups. Zbl 0662.20032
Donkin, Stephen
18
1988
Invariants of unipotent radicals. Zbl 0627.14013
Donkin, Stephen
11
1988
On conjugating representations and adjoint representations of semisimple groups. Zbl 0639.20021
Donkin, S.
8
1988
On Schur algebras and related algebras. II. Zbl 0634.20019
Donkin, Stephen
60
1987
Good filtrations of rational modules for reductive groups. Zbl 0648.20048
Donkin, S.
16
1987
Space groups and groups of prime-power order. VIII: Pro-p-groups of finite coclass and p-adic Lie algebras. Zbl 0651.20038
Donkin, Stephen
6
1987
On Schur algebras and related algebras. I. Zbl 0606.20038
Donkin, S.
56
1986
Finite resolutions of modules for reductive algebraic groups. Zbl 0607.20023
Donkin, S.
22
1986
Rational representations of algebraic groups: Tensor products and filtrations. Zbl 0586.20017
Donkin, Stephen
75
1985
A note on decomposition numbers for general linear groups and symmetric groups. Zbl 0557.20005
Donkin, S.
14
1985
A note on decomposition numbers for reductive algebraic groups. Zbl 0505.20028
Donkin, Stephen
11
1983
On \(Ext^ 1 \)for semisimple groups and infinitesimal subgroups. Zbl 0502.20023
Donkin, Stephen
7
1982
Locally finite representations of polycyclic-by-finite groups. Zbl 0483.20004
Donkin, Stephen
6
1982
A note on the characters of the projective modules for the infinitesimal subgroups of a semisimple algebraic group. Zbl 0499.20026
Donkin, Stephen
6
1982
On the Hopf algebra dual of an enveloping algebra. Zbl 0485.17003
Donkin, Stephen
2
1982
A filtration for rational modules. Zbl 0455.20029
Donkin, Stephen
31
1981
Polycyclic groups, Lie algebras and algebraic groups. Zbl 0453.20028
Donkin, Stephen
6
1981
On the Noetherian property in endomorphism rings of certain comodules. Zbl 0464.16007
Donkin, Stephen
6
1981
The blocks of a semisimple algebraic group. Zbl 0458.20036
Donkin, Stephen
18
1980
Hopf complements and injective comodules for algebraic groups. Zbl 0442.20033
Donkin, Stephen
15
1980
On a question of Verma. Zbl 0441.14014
Donkin, Stephen
7
1980
Rationally injective modules for semisimple algebraic groups as direct limits. Zbl 0434.20023
Donkin, Stephen
1
1980
Blocks of rational representations of a semisimple algebraic group. Zbl 0437.20033
Donkin, Stephen
1
1980
all top 5

Cited by 411 Authors

43 Donkin, Stephen
19 Erdmann, Karin
17 Doty, Stephen R.
17 Zubkov, Alexandr N.
16 Andersen, Henning Haahr
16 Lopatin, Artem A.
15 Nakano, Daniel K.
14 Parshall, Brian J.
13 Lim, Kay Jin
11 Martin, Paul Purdon
11 Parker, Alison E.
11 Tange, Rudolf
9 Cox, Anton
9 Domokos, Mátyás
9 Geranios, Haralampos
9 Scott, Leonard L.
8 Du, Jie
8 König, Steffen
7 Brundan, Jonathan
7 De Visscher, Maud
7 Marko, František
7 Tan, Kai Meng
6 Bendel, Christopher P.
6 Fang, Ming
6 Friedlander, Eric Mark
6 Henke, Anne
6 Kleshchev, Alexander S.
6 Pillen, Cornelius
6 Williamson, Geordie
5 Bowman, Christopher David
5 Danz, Susanne
5 Fu, Qiang
5 Giannelli, Eugenio
5 Guédénon, Thomas
5 Hemmer, David J.
5 Hu, Jun
5 Kanel’-Belov, Alekseĭ Yakovlevich
5 Maliakas, Mihalis
5 Mathas, Andrew
5 Shalev, Aner
5 Sobaje, Paul
5 Van den Bergh, Michel
5 Walker, Grant
5 Wang, Jianpan
5 Xi, Changchang
4 Boltje, Robert
4 Cline, Edward T.
4 Deng, Bangming
4 Dipper, Richard
4 Gainutdinov, Azat M.
4 Humphreys, James E.
4 Jakobsen, Hans Plesner
4 Jantzen, Jens Carsten
4 Jensen, Bernt Tore
4 Rodríguez-Romo, Suemi
4 Saleur, Hubert
4 Shan, Peng
4 Soergel, Wolfgang
4 Stöhr, Ralph
4 Stokke, Anna
4 Stroppel, Catharina H.
4 Su, Xiuping
4 Tubbenhauer, Daniel
4 Van der Kallen, Wilberd
4 Vasserot, Eric
4 Wang, Weiqiang
4 Yang, Guiyu
3 Axtell, Jonathan D.
3 Braun, Amiram
3 Cheng, Shun-Jen
3 Conde, Teresa
3 Derksen, Harm
3 Evseev, Anton
3 Giaquinto, Anthony
3 Gu, Haixia
3 Hashimoto, Mitsuyasu
3 Jing, Naihuan
3 Johnson, Marianne
3 Korhonen, Mikko
3 Krob, Daniel
3 Kulkarni, Upendra
3 Lam, Ngau
3 Lin, Zongzhu
3 Litterick, Alastair James
3 Liu, Mingqiang
3 Malev, Sergey
3 Mathieu, Olivier
3 Musson, Ian M.
3 Premet, Alexander A.
3 Read, Nicholas
3 Rowen, Louis Halle
3 Rui, Hebing
3 Sin, Peter K. W.
3 Speyer, Liron
3 Stewart, David I.
3 Thomas, Adam R.
3 Torrecillas Jover, Blas
3 Vaccarino, Francesco
3 Varagnolo, Michela
3 Wada, Kentaro
...and 311 more Authors
all top 5

Cited in 89 Serials

158 Journal of Algebra
64 Journal of Pure and Applied Algebra
43 Communications in Algebra
39 Advances in Mathematics
26 Algebras and Representation Theory
23 Mathematische Zeitschrift
23 Transactions of the American Mathematical Society
20 Transformation Groups
15 Mathematical Proceedings of the Cambridge Philosophical Society
12 Inventiones Mathematicae
12 Representation Theory
9 Archiv der Mathematik
9 Journal of Algebra and its Applications
8 Journal of Algebraic Combinatorics
7 Linear Algebra and its Applications
6 Linear and Multilinear Algebra
6 Memoirs of the American Mathematical Society
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
4 Compositio Mathematica
4 European Journal of Combinatorics
4 Journal of the American Mathematical Society
4 International Journal of Algebra and Computation
4 Journal of Group Theory
3 Journal of Mathematical Physics
3 Annales de l’Institut Fourier
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Mathematische Annalen
3 Nagoya Mathematical Journal
3 Pacific Journal of Mathematics
3 Journal of the Australian Mathematical Society
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Communications in Mathematical Physics
2 Letters in Mathematical Physics
2 Nuclear Physics. B
2 Beiträge zur Algebra und Geometrie
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Osaka Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Siberian Mathematical Journal
2 Advances in Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Journal of Lie Theory
2 Selecta Mathematica. New Series
2 Acta Mathematica Sinica. English Series
2 Science China. Mathematics
2 Forum of Mathematics, Sigma
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Bulletin of the London Mathematical Society
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Journal of the Mathematical Society of Japan
1 Kodai Mathematical Journal
1 Manuscripta Mathematica
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Acta Applicandae Mathematicae
1 Forum Mathematicum
1 Science in China. Series A
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Vestnik St. Petersburg University. Mathematics
1 Computational Complexity
1 Algebra Colloquium
1 Advances in Applied Clifford Algebras
1 The New York Journal of Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 LMS Journal of Computation and Mathematics
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Algebra & Number Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Quantum Topology
1 Communications in Mathematics and Statistics
1 Annals of \(K\)-Theory
1 Transactions of the American Mathematical Society. Series B
1 Journal of Combinatorial Algebra

Citations by Year