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Author ID: doty.stephen-r Recent zbMATH articles by "Doty, Stephen R."
Published as: Doty, Stephen; Doty, Stephen R.; Doty, S. R.; Doty, S.
Homepage: https://doty.math.luc.edu/
External Links: MGP · ORCID · Google Scholar

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 536 times in 336 Documents Cited by Year
Presenting Schur algebras. Zbl 1059.16015
Doty, Stephen; Giaquinto, Anthony
47
2002
On the blocks of the walled Brauer algebra. Zbl 1196.20004
Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul
41
2008
Polynomial representations, algebraic monoids, and Schur algebras of classical type. Zbl 0912.20036
Doty, Stephen
30
1998
Brauer algebras, symplectic Schur algebras and Schur-Weyl duality. Zbl 1157.16004
Dipper, Richard; Doty, Stephen; Hu, Jun
26
2008
Schur-Weyl duality for orthogonal groups. Zbl 1177.20051
Doty, Stephen; Hu, Jun
22
2009
The submodule structure of certain Weyl modules for groups of type \(A_ n\). Zbl 0577.20031
Doty, Stephen R.
22
1985
Extensions of modules over Schur algebras, symmetric groups and Hecke algebras. Zbl 1084.20004
Doty, Stephen R.; Erdmann, Karin; Nakano, Daniel K.
22
2004
Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011
Doty, Stephen
22
2003
Decomposition of tensor products of modular irreducibles for \(\text{SL}_2\). Zbl 1108.20043
Doty, Stephen; Henke, Anne
21
2005
Representation type of Schur algebras. Zbl 0942.16021
Doty, Stephen R.; Erdmann, Karin; Martin, Stuart; Nakano, Daniel K.
18
1999
On infinitesimal Schur algebras. Zbl 0856.20025
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
18
1996
The quantized walled Brauer algebra and mixed tensor space. Zbl 1368.17017
Dipper, R.; Doty, S.; Stoll, F.
18
2014
Semisimple Schur algebras. Zbl 0916.20031
Doty, Stephen R.; Nakano, Daniel K.
16
1998
On the structure of the higher cohomology modules of line bundles on G/B. Zbl 0643.20020
Doty, Stephen R.; Sullivan, John B.
15
1988
Modular symmetric functions and irreducible modular representations of general linear groups. Zbl 0804.20034
Doty, Stephen; Walker, Grant
15
1992
The rational Schur algebra. Zbl 1185.20052
Dipper, Richard; Doty, Stephen
14
2008
Quantized mixed tensor space and Schur-Weyl duality. Zbl 1290.17012
Dipper, Richard; Doty, Stephen; Stoll, Friederike
14
2013
Presenting affine \(q\)-Schur algebras. Zbl 1148.17009
Doty, S. R.; Green, R. M.
10
2007
Schur-Weyl duality over finite fields. Zbl 1210.20039
Benson, David; Doty, Stephen
10
2009
Presenting Schur algebras as quotients of the universal enveloping algebra of \(\mathfrak{gl}_2\). Zbl 1104.17007
Doty, Stephen; Giaquinto, Anthony
10
2004
Truncated symmetric powers and modular representations of \(\text{GL}_ n\). Zbl 0855.20008
Doty, Stephen; Walker, Grant
9
1996
The composition factors of \(F_ p[x_ 1, x_ 2, x_ 3]\) as a \(GL(3, p)\)-module. Zbl 0789.20039
Doty, Stephen R.; Walker, Grant
9
1992
Filtration patterns for representations of algebraic groups and their Frobenius kernels. Zbl 0601.20041
Doty, Stephen R.; Sullivan, John B.
8
1987
Decomposition of tensor products of modular irreducible representations for \(\text{SL}_3\). (With an appendix by C. M. Ringel). Zbl 1263.20041
Bowman, C.; Doty, S. R.; Martin, S.
7
2011
Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\). Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
7
2002
The submodule structure of Weyl modules for \(SL_ 3\). Zbl 0573.20043
Doty, Stephen R.; Sullivan, John B.
7
1985
The strong linkage principle. Zbl 0668.20035
Doty, Stephen
6
1989
Resolutions of \(B\) modules. Zbl 0821.20026
Doty, S. R.
6
1994
Presenting generalized Schur algebras in types \(B\), \(C\), \(D\). Zbl 1109.16021
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
6
2006
Character formulas and Frobenius subgroups of algebraic groups. Zbl 0678.20022
Doty, Stephen
5
1989
A generic algebra associated to certain Hecke algebras. Zbl 1072.20005
Doty, Stephen; Erdmann, Karin; Henke, Anne
5
2004
On the geometry of extensions of irreducible modules for simple algebraic groups. Zbl 0656.14027
Doty, Stephen R.; Sullivan, John B.
4
1987
Endomorphism rings of permutation modules over maximal Young subgroups. Zbl 1151.20009
Doty, Stephen; Erdmann, Karin; Henke, Anne
4
2007
Representation theory of reductive normal algebraic monoids. Zbl 0920.20054
Doty, Stephen
4
1999
Relating the cohomology of general linear groups and symmetric groups. Zbl 1024.20042
Doty, Stephen R.; Nakano, Daniel K.
4
2001
Decomposition of tensor products of modular irreducible representations for \(\text{SL}_3\): the \(p\geqslant 5\) case. Zbl 1309.20038
Bowman, C.; Doty, S. R.; Martin, S.
4
2015
Generators and relations for Schur algebras. Zbl 0986.16012
Doty, Stephen; Giaquinto, Anthony
3
2001
New versions of Schur-Weyl duality. Zbl 1084.20030
Doty, Stephen
3
2004
Infinitesimal Schur algebras of finite representation type. Zbl 0956.20042
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
3
1997
The symmetric algebra and representations of general linear groups. Zbl 0822.20046
Doty, Stephen
3
1991
Polynomial representations of Frobenius kernels of \(\text{GL}_ 2\). Zbl 0856.20026
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
3
1996
Cellular bases of generalised \(q\)-Schur algebras. Zbl 1397.20063
Doty, Stephen; Giaquinto, Anthony
3
2017
Integral Schur-Weyl duality for partition algebras. Zbl 1498.16022
Bowman, Chris; Doty, Stephen; Martin, Stuart
3
2022
A characteristic-free decomposition of tensor space as a Brauer algebra module. Zbl 1281.20004
Doty, S. R.
2
2012
Annihilators of permutation modules. Zbl 1211.20005
Doty, S.; Nyman, K.
2
2011
Schur-Weyl duality in positive characteristic. Zbl 1176.20048
Doty, Stephen
2
2009
Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras. Zbl 1205.17016
Doty, Stephen
2
2009
Canonical idempotents of multiplicity-free families of algebras. Zbl 1433.16042
Doty, Stephen; Lauve, Aaron; Seelinger, George H.
2
2018
Factoring tilting modules for algebraic groups. Zbl 1182.20040
Doty, S. R.
1
2009
On the defining relations for generalized \(q\)-Schur algebras. Zbl 1179.17016
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
1
2009
Submodules of symmetric powers of the natural module for \(GL_ n\). Zbl 0714.20025
Doty, Stephen
1
1989
A geometric construction of generalized \(q\)-Schur algebras. Zbl 1358.17017
Doty, Stephen; Li, Yiqiang
1
2014
Schur-Weyl duality and the free Lie algebra. Zbl 1422.20018
Doty, Stephen; Douglass, J. Matthew
1
2017
An integral second fundamental theorem of invariant theory for partition algebras. Zbl 07503377
Bowman, Chris; Doty, Stephen; Martin, Stuart
1
2022
Integral Schur-Weyl duality for partition algebras. Zbl 1498.16022
Bowman, Chris; Doty, Stephen; Martin, Stuart
3
2022
An integral second fundamental theorem of invariant theory for partition algebras. Zbl 07503377
Bowman, Chris; Doty, Stephen; Martin, Stuart
1
2022
Canonical idempotents of multiplicity-free families of algebras. Zbl 1433.16042
Doty, Stephen; Lauve, Aaron; Seelinger, George H.
2
2018
Cellular bases of generalised \(q\)-Schur algebras. Zbl 1397.20063
Doty, Stephen; Giaquinto, Anthony
3
2017
Schur-Weyl duality and the free Lie algebra. Zbl 1422.20018
Doty, Stephen; Douglass, J. Matthew
1
2017
Decomposition of tensor products of modular irreducible representations for \(\text{SL}_3\): the \(p\geqslant 5\) case. Zbl 1309.20038
Bowman, C.; Doty, S. R.; Martin, S.
4
2015
The quantized walled Brauer algebra and mixed tensor space. Zbl 1368.17017
Dipper, R.; Doty, S.; Stoll, F.
18
2014
A geometric construction of generalized \(q\)-Schur algebras. Zbl 1358.17017
Doty, Stephen; Li, Yiqiang
1
2014
Quantized mixed tensor space and Schur-Weyl duality. Zbl 1290.17012
Dipper, Richard; Doty, Stephen; Stoll, Friederike
14
2013
A characteristic-free decomposition of tensor space as a Brauer algebra module. Zbl 1281.20004
Doty, S. R.
2
2012
Decomposition of tensor products of modular irreducible representations for \(\text{SL}_3\). (With an appendix by C. M. Ringel). Zbl 1263.20041
Bowman, C.; Doty, S. R.; Martin, S.
7
2011
Annihilators of permutation modules. Zbl 1211.20005
Doty, S.; Nyman, K.
2
2011
Schur-Weyl duality for orthogonal groups. Zbl 1177.20051
Doty, Stephen; Hu, Jun
22
2009
Schur-Weyl duality over finite fields. Zbl 1210.20039
Benson, David; Doty, Stephen
10
2009
Schur-Weyl duality in positive characteristic. Zbl 1176.20048
Doty, Stephen
2
2009
Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras. Zbl 1205.17016
Doty, Stephen
2
2009
Factoring tilting modules for algebraic groups. Zbl 1182.20040
Doty, S. R.
1
2009
On the defining relations for generalized \(q\)-Schur algebras. Zbl 1179.17016
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
1
2009
On the blocks of the walled Brauer algebra. Zbl 1196.20004
Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul
41
2008
Brauer algebras, symplectic Schur algebras and Schur-Weyl duality. Zbl 1157.16004
Dipper, Richard; Doty, Stephen; Hu, Jun
26
2008
The rational Schur algebra. Zbl 1185.20052
Dipper, Richard; Doty, Stephen
14
2008
Presenting affine \(q\)-Schur algebras. Zbl 1148.17009
Doty, S. R.; Green, R. M.
10
2007
Endomorphism rings of permutation modules over maximal Young subgroups. Zbl 1151.20009
Doty, Stephen; Erdmann, Karin; Henke, Anne
4
2007
Presenting generalized Schur algebras in types \(B\), \(C\), \(D\). Zbl 1109.16021
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
6
2006
Decomposition of tensor products of modular irreducibles for \(\text{SL}_2\). Zbl 1108.20043
Doty, Stephen; Henke, Anne
21
2005
Extensions of modules over Schur algebras, symmetric groups and Hecke algebras. Zbl 1084.20004
Doty, Stephen R.; Erdmann, Karin; Nakano, Daniel K.
22
2004
Presenting Schur algebras as quotients of the universal enveloping algebra of \(\mathfrak{gl}_2\). Zbl 1104.17007
Doty, Stephen; Giaquinto, Anthony
10
2004
A generic algebra associated to certain Hecke algebras. Zbl 1072.20005
Doty, Stephen; Erdmann, Karin; Henke, Anne
5
2004
New versions of Schur-Weyl duality. Zbl 1084.20030
Doty, Stephen
3
2004
Presenting generalized \(q\)-Schur algebras. Zbl 1030.17011
Doty, Stephen
22
2003
Presenting Schur algebras. Zbl 1059.16015
Doty, Stephen; Giaquinto, Anthony
47
2002
Derangements and tensor powers of adjoint modules for \(\mathfrak{sl}_n\). Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
7
2002
Relating the cohomology of general linear groups and symmetric groups. Zbl 1024.20042
Doty, Stephen R.; Nakano, Daniel K.
4
2001
Generators and relations for Schur algebras. Zbl 0986.16012
Doty, Stephen; Giaquinto, Anthony
3
2001
Representation type of Schur algebras. Zbl 0942.16021
Doty, Stephen R.; Erdmann, Karin; Martin, Stuart; Nakano, Daniel K.
18
1999
Representation theory of reductive normal algebraic monoids. Zbl 0920.20054
Doty, Stephen
4
1999
Polynomial representations, algebraic monoids, and Schur algebras of classical type. Zbl 0912.20036
Doty, Stephen
30
1998
Semisimple Schur algebras. Zbl 0916.20031
Doty, Stephen R.; Nakano, Daniel K.
16
1998
Infinitesimal Schur algebras of finite representation type. Zbl 0956.20042
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
3
1997
On infinitesimal Schur algebras. Zbl 0856.20025
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
18
1996
Truncated symmetric powers and modular representations of \(\text{GL}_ n\). Zbl 0855.20008
Doty, Stephen; Walker, Grant
9
1996
Polynomial representations of Frobenius kernels of \(\text{GL}_ 2\). Zbl 0856.20026
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
3
1996
Resolutions of \(B\) modules. Zbl 0821.20026
Doty, S. R.
6
1994
Modular symmetric functions and irreducible modular representations of general linear groups. Zbl 0804.20034
Doty, Stephen; Walker, Grant
15
1992
The composition factors of \(F_ p[x_ 1, x_ 2, x_ 3]\) as a \(GL(3, p)\)-module. Zbl 0789.20039
Doty, Stephen R.; Walker, Grant
9
1992
The symmetric algebra and representations of general linear groups. Zbl 0822.20046
Doty, Stephen
3
1991
The strong linkage principle. Zbl 0668.20035
Doty, Stephen
6
1989
Character formulas and Frobenius subgroups of algebraic groups. Zbl 0678.20022
Doty, Stephen
5
1989
Submodules of symmetric powers of the natural module for \(GL_ n\). Zbl 0714.20025
Doty, Stephen
1
1989
On the structure of the higher cohomology modules of line bundles on G/B. Zbl 0643.20020
Doty, Stephen R.; Sullivan, John B.
15
1988
Filtration patterns for representations of algebraic groups and their Frobenius kernels. Zbl 0601.20041
Doty, Stephen R.; Sullivan, John B.
8
1987
On the geometry of extensions of irreducible modules for simple algebraic groups. Zbl 0656.14027
Doty, Stephen R.; Sullivan, John B.
4
1987
The submodule structure of certain Weyl modules for groups of type \(A_ n\). Zbl 0577.20031
Doty, Stephen R.
22
1985
The submodule structure of Weyl modules for \(SL_ 3\). Zbl 0573.20043
Doty, Stephen R.; Sullivan, John B.
7
1985
all top 5

Cited by 289 Authors

29 Doty, Stephen R.
12 Fu, Qiang
11 Erdmann, Karin
10 Nakano, Daniel K.
9 Donkin, Stephen
9 Hemmer, David J.
8 Du, Jie
8 Lin, Zongzhu
8 Liu, Mingqiang
7 Henke, Anne
7 Walker, Grant
6 Andersen, Henning Haahr
6 Bowman, Christopher David
6 Cox, Anton
6 De Visscher, Maud
6 Hu, Jun
6 Sullivan, John Brendan
5 Ash, Avner
5 Giaquinto, Anthony
5 Li, Zhenheng
5 Marko, František
5 Stroppel, Catharina H.
5 Tubbenhauer, Daniel
4 Cao, You’an
4 Doud, Darrin
4 Fang, Ming
4 Gao, Wenting
4 König, Steffen
4 Parshall, Brian J.
4 Rui, Hebing
4 Song, Linliang
4 Xiao, Zhankui
3 Deng, Bangming
3 Dipper, Richard
3 Etingof, Pavel Il’ich
3 Kaneda, Masaharu
3 Kleshchev, Alexander S.
3 Kujawa, Jonathan Robert
3 Li, Yiqiang
3 Santana, Ana Paula
3 Wang, Jianpan
3 Yang, Guiyu
3 Yudin, Ivan
3 Zubkov, Alexandr N.
2 Bendel, Christopher P.
2 Benson, David John
2 Bian, Zhihao
2 Boe, Brian Douglas
2 Boltje, Robert
2 Brown, Gordon C.
2 Brundan, Jonathan
2 Bulgakova, D. V.
2 Calvert, Kieran
2 Cautis, Sabin
2 Cliff, Gerald H.
2 Comes, Jonathan
2 Coulembier, Kevin
2 Craven, David A.
2 Drenkhahn, Christian
2 Drupieski, Christopher M.
2 Futorny, Vyacheslav M.
2 Gu, Haixia
2 Guay, Nicolas
2 Hartmann, Robert
2 Hazi, Amit
2 Herzig, Florian
2 Horodecki, Michał
2 Jung, Ji Hye
2 Kamnitzer, Joel
2 Karagueuzian, Dikran B.
2 Kim, Myungho
2 Kochhar, Jasdeep Singh
2 Kulkarni, Upendra
2 Lai, Chun-Ju
2 Lei, Jie
2 Li, Zhuo
2 Litterick, Alastair James
2 Liu, Linyuan
2 Liu, Qunhua
2 Mackaay, Marco
2 Martin, Paul Purdon
2 Martin, Stuart
2 Mazorchuk, Volodymyr
2 Miemietz, Vanessa
2 Mozrzymas, Marek
2 Oehms, Sebastian
2 Ostrik, Victor Valentinovich
2 Paget, Rowena
2 Parker, Alison E.
2 Pillen, Cornelius
2 Putcha, Mohan S.
2 Queffelec, Hoel
2 Raedschelders, Theo
2 Ramgoolam, Sanjaye
2 Ryan, Kieran
2 Sartori, Antonio
2 Semikhatov, Alexei M.
2 Shalile, Armin
2 Si, Mei
2 Sobaje, Paul
...and 189 more Authors
all top 5

Cited in 69 Serials

83 Journal of Algebra
28 Journal of Pure and Applied Algebra
20 Communications in Algebra
19 Mathematische Zeitschrift
17 Advances in Mathematics
15 Algebras and Representation Theory
13 Transactions of the American Mathematical Society
9 Journal of Algebraic Combinatorics
9 Transformation Groups
8 Representation Theory
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Proceedings of the American Mathematical Society
3 Journal of Mathematical Physics
3 Nagoya Mathematical Journal
3 Advances in Applied Mathematics
3 International Journal of Mathematics
3 Selecta Mathematica. New Series
3 Journal of High Energy Physics
3 Journal of Algebra and its Applications
3 Journal of Physics A: Mathematical and Theoretical
3 Transactions of the American Mathematical Society. Series B
3 Algebraic Combinatorics
2 Nuclear Physics. B
2 Journal of Geometry and Physics
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Combinatorial Theory. Series A
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Semigroup Forum
2 Journal of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Algebra Colloquium
2 Journal of Group Theory
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Combinatorial Algebra
1 International Journal of Theoretical Physics
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematische Annalen
1 Siberian Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Chinese Annals of Mathematics. Series B
1 International Journal of Algebra and Computation
1 Linear Algebra and its Applications
1 Experimental Mathematics
1 Applied Categorical Structures
1 Annales Mathématiques Blaise Pascal
1 The Electronic Journal of Combinatorics
1 Electronic Research Announcements of the American Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Algebra & Number Theory
1 Quantum Topology
1 Science China. Mathematics
1 Forum of Mathematics, Pi
1 European Journal of Mathematics
1 Annals of \(K\)-Theory
1 Winter Braids Lecture Notes

Citations by Year