## Doty, Stephen R.

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 Author ID: doty.stephen-r Published as: Doty, Stephen; Doty, Stephen R.; Doty, S. R.; Doty, S. more...less Homepage: https://doty.math.luc.edu/ External Links: MGP · ORCID · Google Scholar
 Documents Indexed: 61 Publications since 1985 Co-Authors: 21 Co-Authors with 41 Joint Publications 324 Co-Co-Authors
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### Co-Authors

 18 single-authored 7 Giaquinto, Anthony 7 Nakano, Daniel K. 7 Sullivan, John Brendan 6 Martin, Stuart 4 Bowman, Christopher David 4 Dipper, Richard 4 Erdmann, Karin 3 Henke, Anne 3 Peters, Karl M. 3 Walker, Grant 2 Hu, Jun 2 Stoll, Friederike 1 Benkart, Georgia M. 1 Benson, David John 1 Cox, Anton 1 De Visscher, Maud 1 Douglass, J. Matthew 1 Green, Richard M. 1 Lauve, Aaron 1 Li, Yiqiang 1 Martin, Paul Purdon 1 Ringel, Claus Michael 1 Seelinger, George H.
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### Serials

 11 Journal of Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematische Zeitschrift 3 Representation Theory 3 Algebras and Representation Theory 2 Advances in Mathematics 2 Archiv der Mathematik 2 Journal of Pure and Applied Algebra 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Journal of Lie Theory 2 The Quarterly Journal of Mathematics 2 International Electronic Journal of Algebra (IEJA) 1 American Journal of Mathematics 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Electronic Research Announcements of the American Mathematical Society 1 Algebra & Number Theory 1 Research in the Mathematical Sciences 1 Algebraic Combinatorics
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### Fields

 58 Group theory and generalizations (20-XX) 20 Nonassociative rings and algebras (17-XX) 16 Associative rings and algebras (16-XX) 10 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Quantum theory (81-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 491 times in 305 Documents Cited by Year
Presenting Schur algebras. Zbl 1059.16015
Doty, Stephen; Giaquinto, Anthony
2002
On the blocks of the walled Brauer algebra. Zbl 1196.20004
Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul
2008
Polynomial representations, algebraic monoids, and Schur algebras of classical type. Zbl 0912.20036
Doty, Stephen
1998
Brauer algebras, symplectic Schur algebras and Schur-Weyl duality. Zbl 1157.16004
Dipper, Richard; Doty, Stephen; Hu, Jun
2008
Extensions of modules over Schur algebras, symmetric groups and Hecke algebras. Zbl 1084.20004
Doty, Stephen R.; Erdmann, Karin; Nakano, Daniel K.
2004
The submodule structure of certain Weyl modules for groups of type $$A_ n$$. Zbl 0577.20031
Doty, Stephen R.
1985
Presenting generalized $$q$$-Schur algebras. Zbl 1030.17011
Doty, Stephen
2003
Schur-Weyl duality for orthogonal groups. Zbl 1177.20051
Doty, Stephen; Hu, Jun
2009
Decomposition of tensor products of modular irreducibles for $$\text{SL}_2$$. Zbl 1108.20043
Doty, Stephen; Henke, Anne
2005
Representation type of Schur algebras. Zbl 0942.16021
Doty, Stephen R.; Erdmann, Karin; Martin, Stuart; Nakano, Daniel K.
1999
The quantized walled Brauer algebra and mixed tensor space. Zbl 1368.17017
Dipper, R.; Doty, S.; Stoll, F.
2014
On infinitesimal Schur algebras. Zbl 0856.20025
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1996
On the structure of the higher cohomology modules of line bundles on G/B. Zbl 0643.20020
Doty, Stephen R.; Sullivan, John B.
1988
Semisimple Schur algebras. Zbl 0916.20031
Doty, Stephen R.; Nakano, Daniel K.
1998
Modular symmetric functions and irreducible modular representations of general linear groups. Zbl 0804.20034
Doty, Stephen; Walker, Grant
1992
Quantized mixed tensor space and Schur-Weyl duality. Zbl 1290.17012
Dipper, Richard; Doty, Stephen; Stoll, Friederike
2013
The rational Schur algebra. Zbl 1185.20052
Dipper, Richard; Doty, Stephen
2008
Presenting Schur algebras as quotients of the universal enveloping algebra of $$\mathfrak{gl}_2$$. Zbl 1104.17007
Doty, Stephen; Giaquinto, Anthony
2004
Presenting affine $$q$$-Schur algebras. Zbl 1148.17009
Doty, S. R.; Green, R. M.
2007
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
1992
Schur-Weyl duality over finite fields. Zbl 1210.20039
Benson, David; Doty, Stephen
2009
Filtration patterns for representations of algebraic groups and their Frobenius kernels. Zbl 0601.20041
Doty, Stephen R.; Sullivan, John B.
1987
Truncated symmetric powers and modular representations of $$\text{GL}_ n$$. Zbl 0855.20008
Doty, Stephen; Walker, Grant
1996
The submodule structure of Weyl modules for $$SL_ 3$$. Zbl 0573.20043
Doty, Stephen R.; Sullivan, John B.
1985
Resolutions of $$B$$ modules. Zbl 0821.20026
Doty, S. R.
1994
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.
2011
Presenting generalized Schur algebras in types $$B$$, $$C$$, $$D$$. Zbl 1109.16021
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
2006
Derangements and tensor powers of adjoint modules for $$\mathfrak{sl}_n$$. Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
2002
The strong linkage principle. Zbl 0668.20035
Doty, Stephen
1989
A generic algebra associated to certain Hecke algebras. Zbl 1072.20005
Doty, Stephen; Erdmann, Karin; Henke, Anne
2004
Character formulas and Frobenius subgroups of algebraic groups. Zbl 0678.20022
Doty, Stephen
1989
On the geometry of extensions of irreducible modules for simple algebraic groups. Zbl 0656.14027
Doty, Stephen R.; Sullivan, John B.
1987
Relating the cohomology of general linear groups and symmetric groups. Zbl 1024.20042
Doty, Stephen R.; Nakano, Daniel K.
2001
Representation theory of reductive normal algebraic monoids. Zbl 0920.20054
Doty, Stephen
1999
Endomorphism rings of permutation modules over maximal Young subgroups. Zbl 1151.20009
Doty, Stephen; Erdmann, Karin; Henke, Anne
2007
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.
2015
New versions of Schur-Weyl duality. Zbl 1084.20030
Doty, Stephen
2004
Generators and relations for Schur algebras. Zbl 0986.16012
Doty, Stephen; Giaquinto, Anthony
2001
Polynomial representations of Frobenius kernels of $$\text{GL}_ 2$$. Zbl 0856.20026
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1996
The symmetric algebra and representations of general linear groups. Zbl 0822.20046
Doty, Stephen
1991
Cellular bases of generalised $$q$$-Schur algebras. Zbl 1397.20063
Doty, Stephen; Giaquinto, Anthony
2017
A characteristic-free decomposition of tensor space as a Brauer algebra module. Zbl 1281.20004
Doty, S. R.
2012
Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras. Zbl 1205.17016
Doty, Stephen
2009
Infinitesimal Schur algebras of finite representation type. Zbl 0956.20042
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1997
Annihilators of permutation modules. Zbl 1211.20005
Doty, S.; Nyman, K.
2011
Schur-Weyl duality in positive characteristic. Zbl 1176.20048
Doty, Stephen
2009
Canonical idempotents of multiplicity-free families of algebras. Zbl 1433.16042
Doty, Stephen; Lauve, Aaron; Seelinger, George H.
2018
A geometric construction of generalized $$q$$-Schur algebras. Zbl 1358.17017
Doty, Stephen; Li, Yiqiang
2014
Factoring tilting modules for algebraic groups. Zbl 1182.20040
Doty, S. R.
2009
On the defining relations for generalized $$q$$-Schur algebras. Zbl 1179.17016
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
2009
Schur-Weyl duality and the free Lie algebra. Zbl 1422.20018
Doty, Stephen; Douglass, J. Matthew
2017
Canonical idempotents of multiplicity-free families of algebras. Zbl 1433.16042
Doty, Stephen; Lauve, Aaron; Seelinger, George H.
2018
Cellular bases of generalised $$q$$-Schur algebras. Zbl 1397.20063
Doty, Stephen; Giaquinto, Anthony
2017
Schur-Weyl duality and the free Lie algebra. Zbl 1422.20018
Doty, Stephen; Douglass, J. Matthew
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.
2015
The quantized walled Brauer algebra and mixed tensor space. Zbl 1368.17017
Dipper, R.; Doty, S.; Stoll, F.
2014
A geometric construction of generalized $$q$$-Schur algebras. Zbl 1358.17017
Doty, Stephen; Li, Yiqiang
2014
Quantized mixed tensor space and Schur-Weyl duality. Zbl 1290.17012
Dipper, Richard; Doty, Stephen; Stoll, Friederike
2013
A characteristic-free decomposition of tensor space as a Brauer algebra module. Zbl 1281.20004
Doty, S. R.
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.
2011
Annihilators of permutation modules. Zbl 1211.20005
Doty, S.; Nyman, K.
2011
Schur-Weyl duality for orthogonal groups. Zbl 1177.20051
Doty, Stephen; Hu, Jun
2009
Schur-Weyl duality over finite fields. Zbl 1210.20039
Benson, David; Doty, Stephen
2009
Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras. Zbl 1205.17016
Doty, Stephen
2009
Schur-Weyl duality in positive characteristic. Zbl 1176.20048
Doty, Stephen
2009
Factoring tilting modules for algebraic groups. Zbl 1182.20040
Doty, S. R.
2009
On the defining relations for generalized $$q$$-Schur algebras. Zbl 1179.17016
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
2009
On the blocks of the walled Brauer algebra. Zbl 1196.20004
Cox, Anton; De Visscher, Maud; Doty, Stephen; Martin, Paul
2008
Brauer algebras, symplectic Schur algebras and Schur-Weyl duality. Zbl 1157.16004
Dipper, Richard; Doty, Stephen; Hu, Jun
2008
The rational Schur algebra. Zbl 1185.20052
Dipper, Richard; Doty, Stephen
2008
Presenting affine $$q$$-Schur algebras. Zbl 1148.17009
Doty, S. R.; Green, R. M.
2007
Endomorphism rings of permutation modules over maximal Young subgroups. Zbl 1151.20009
Doty, Stephen; Erdmann, Karin; Henke, Anne
2007
Presenting generalized Schur algebras in types $$B$$, $$C$$, $$D$$. Zbl 1109.16021
Doty, Stephen; Giaquinto, Anthony; Sullivan, John
2006
Decomposition of tensor products of modular irreducibles for $$\text{SL}_2$$. Zbl 1108.20043
Doty, Stephen; Henke, Anne
2005
Extensions of modules over Schur algebras, symmetric groups and Hecke algebras. Zbl 1084.20004
Doty, Stephen R.; Erdmann, Karin; Nakano, Daniel K.
2004
Presenting Schur algebras as quotients of the universal enveloping algebra of $$\mathfrak{gl}_2$$. Zbl 1104.17007
Doty, Stephen; Giaquinto, Anthony
2004
A generic algebra associated to certain Hecke algebras. Zbl 1072.20005
Doty, Stephen; Erdmann, Karin; Henke, Anne
2004
New versions of Schur-Weyl duality. Zbl 1084.20030
Doty, Stephen
2004
Presenting generalized $$q$$-Schur algebras. Zbl 1030.17011
Doty, Stephen
2003
Presenting Schur algebras. Zbl 1059.16015
Doty, Stephen; Giaquinto, Anthony
2002
Derangements and tensor powers of adjoint modules for $$\mathfrak{sl}_n$$. Zbl 1018.17003
Benkart, Georgia; Doty, Stephen
2002
Relating the cohomology of general linear groups and symmetric groups. Zbl 1024.20042
Doty, Stephen R.; Nakano, Daniel K.
2001
Generators and relations for Schur algebras. Zbl 0986.16012
Doty, Stephen; Giaquinto, Anthony
2001
Representation type of Schur algebras. Zbl 0942.16021
Doty, Stephen R.; Erdmann, Karin; Martin, Stuart; Nakano, Daniel K.
1999
Representation theory of reductive normal algebraic monoids. Zbl 0920.20054
Doty, Stephen
1999
Polynomial representations, algebraic monoids, and Schur algebras of classical type. Zbl 0912.20036
Doty, Stephen
1998
Semisimple Schur algebras. Zbl 0916.20031
Doty, Stephen R.; Nakano, Daniel K.
1998
Infinitesimal Schur algebras of finite representation type. Zbl 0956.20042
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1997
On infinitesimal Schur algebras. Zbl 0856.20025
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1996
Truncated symmetric powers and modular representations of $$\text{GL}_ n$$. Zbl 0855.20008
Doty, Stephen; Walker, Grant
1996
Polynomial representations of Frobenius kernels of $$\text{GL}_ 2$$. Zbl 0856.20026
Doty, Stephen R.; Nakano, Daniel K.; Peters, Karl M.
1996
Resolutions of $$B$$ modules. Zbl 0821.20026
Doty, S. R.
1994
Modular symmetric functions and irreducible modular representations of general linear groups. Zbl 0804.20034
Doty, Stephen; Walker, Grant
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
1992
The symmetric algebra and representations of general linear groups. Zbl 0822.20046
Doty, Stephen
1991
The strong linkage principle. Zbl 0668.20035
Doty, Stephen
1989
Character formulas and Frobenius subgroups of algebraic groups. Zbl 0678.20022
Doty, Stephen
1989
On the structure of the higher cohomology modules of line bundles on G/B. Zbl 0643.20020
Doty, Stephen R.; Sullivan, John B.
1988
Filtration patterns for representations of algebraic groups and their Frobenius kernels. Zbl 0601.20041
Doty, Stephen R.; Sullivan, John B.
1987
On the geometry of extensions of irreducible modules for simple algebraic groups. Zbl 0656.14027
Doty, Stephen R.; Sullivan, John B.
1987
The submodule structure of certain Weyl modules for groups of type $$A_ n$$. Zbl 0577.20031
Doty, Stephen R.
1985
The submodule structure of Weyl modules for $$SL_ 3$$. Zbl 0573.20043
Doty, Stephen R.; Sullivan, John B.
1985
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### Cited by 254 Authors

 27 Doty, Stephen R. 11 Erdmann, Karin 11 Fu, Qiang 9 Donkin, Stephen 9 Hemmer, David J. 9 Nakano, Daniel K. 8 Lin, Zongzhu 7 Du, Jie 7 Henke, Anne 7 Walker, Grant 6 Bowman, Christopher David 6 Cox, Anton 6 De Visscher, Maud 6 Hu, Jun 6 Liu, Mingqiang 6 Sullivan, John Brendan 5 Andersen, Henning Haahr 5 Ash, Avner 5 Stroppel, Catharina H. 4 Cao, You’an 4 Doud, Darrin 4 Fang, Ming 4 Gao, Wenting 4 Giaquinto, Anthony 4 König, Steffen 4 Li, Zhenheng 4 Marko, František 4 Rui, Hebing 4 Tubbenhauer, Daniel 4 Xiao, Zhankui 3 Dipper, Richard 3 Kaneda, Masaharu 3 Li, Yiqiang 3 Parshall, Brian J. 3 Santana, Ana Paula 3 Song, Linliang 3 Wang, Jianpan 3 Yudin, Ivan 2 Boltje, Robert 2 Brundan, Jonathan 2 Bulgakova, D. V. 2 Calvert, Kieran 2 Cautis, Sabin 2 Cliff, Gerald H. 2 Comes, Jonathan 2 Craven, David A. 2 Deng, Bangming 2 Drenkhahn, Christian 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 Kujawa, Jonathan Robert 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 Paget, Rowena 2 Parker, Alison E. 2 Putcha, Mohan S. 2 Sartori, Antonio 2 Semikhatov, Alexei M. 2 Shalile, Armin 2 Sobaje, Paul 2 Studziński, Michał 2 Symonds, Peter 2 Tange, Rudolf 2 Tiep Pham Huu 2 Tipunin, Ilya Yu. 2 Touzé, Antoine 2 Wada, Kentaro 2 Wen, Kexin 2 Werth, Mathias 2 Westbury, Bruce W. 2 Wilcox, Stewart 2 Wong, Warren J. 2 Wood, Reginald M. W. 2 Yang, Dong 2 Yang, Guiyu 2 Yang, Qunguang 2 Zhou, Zhongguo 2 Zubkov, Alexandr N. ...and 154 more Authors
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### Cited in 63 Serials

 82 Journal of Algebra 23 Journal of Pure and Applied Algebra 19 Communications in Algebra 19 Mathematische Zeitschrift 16 Advances in Mathematics 15 Algebras and Representation Theory 13 Transactions of the American Mathematical Society 9 Journal of Algebraic Combinatorics 8 Representation Theory 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Transformation Groups 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Physics 3 Nagoya Mathematical Journal 3 International Journal of Mathematics 3 Journal of Algebra and its Applications 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Memoirs of the American Mathematical Society 2 Semigroup Forum 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Algebra Colloquium 2 Selecta Mathematica. New Series 2 Journal of Group Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Physics A: Mathematical and Theoretical 2 Transactions of the American Mathematical Society. Series B 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 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Annalen 1 Pacific Journal of Mathematics 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 Annales Mathématiques Blaise Pascal 1 Electronic Research Announcements of the American Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 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 Quantum Topology 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Annals of $$K$$-Theory 1 Journal of Combinatorial Algebra 1 Algebraic Combinatorics
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### Cited in 25 Fields

 252 Group theory and generalizations (20-XX) 126 Nonassociative rings and algebras (17-XX) 95 Associative rings and algebras (16-XX) 67 Combinatorics (05-XX) 33 Algebraic geometry (14-XX) 21 Category theory; homological algebra (18-XX) 17 Quantum theory (81-XX) 11 Number theory (11-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Commutative algebra (13-XX) 6 Algebraic topology (55-XX) 4 Topological groups, Lie groups (22-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 $$K$$-theory (19-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)