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Farnsteiner, Rolf

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Author ID: farnsteiner.rolf Recent zbMATH articles by "Farnsteiner, Rolf"
Published as: Farnsteiner, Rolf; Farnsteiner, R.
Documents Indexed: 66 Publications since 1981, including 2 Books

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 717 times in 436 Documents Cited by Year
Modular Lie algebras and their representations. Zbl 0648.17003
Strade, Helmut; Farnsteiner, Rolf
260
1988
Derivations and central extensions of finitely generated graded Lie algebras. Zbl 0658.17013
Farnsteiner, Rolf
66
1988
On the theory of Frobenius extensions and its application to Lie superalgebras. Zbl 0811.16013
Bell, Allen D.; Farnsteiner, Rolf
22
1993
On ad-semisimple Lie algebras. Zbl 0521.17003
Farnsteiner, Rolf
21
1983
Shapiro’s lemma and its consequences in the cohomology theory of modular Lie algebras. Zbl 0727.17010
Farnsteiner, Rolf; Strade, Helmut
20
1991
Classification of restricted Lie algebras with tame principal block. Zbl 0989.17011
Farnsteiner, Rolf; Skowronski, Andrzej
19
2002
Periodicity and representation type of modular Lie algebras. Zbl 0823.17025
Farnsteiner, Rolf
17
1995
On infinitesimal groups of tame representation type. Zbl 1031.16022
Farnsteiner, Rolf; Voigt, Detlef
14
2003
Dual space derivations and H 2(L,F) of modular Lie algebras. Zbl 0631.17005
Farnsteiner, Rolf
14
1987
On cocommutative Hopf algebras of finite representation type. Zbl 0981.16030
Farnsteiner, Rolf; Voigt, Detlef
13
2000
The tame infinitesimal groups of odd characteristic. Zbl 1100.14037
Farnsteiner, Rolf; Skowroński, Andrzej
13
2006
Central extensions and invariant forms of graded Lie algebras. Zbl 0621.17012
Farnsteiner, Rolf
13
1986
Representations of blocks associated to induced modules of restricted Lie algebras. Zbl 0854.17021
Farnsteiner, Rolf
12
1996
Extension functors of modular Lie algebras. Zbl 0731.17007
Farnsteiner, Rolf
10
1990
On the structure of simple-semiabelian Lie algebras. Zbl 0534.17003
Farnsteiner, Rolf
9
1984
Note on Frobenius extensions and restricted Lie superalgebras. Zbl 0854.17022
Farnsteiner, Rolf
9
1996
Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. Zbl 1115.20035
Farnsteiner, Rolf
9
2006
Tameness and complexity of finite group schemes. Zbl 1121.16015
Farnsteiner, Rolf
9
2007
The associative forms of the graded Cartan type Lie algebras. Zbl 0591.17009
Farnsteiner, Rolf
9
1986
Representations of Lie algebras with triangular decomposition. Zbl 0849.17017
Farnsteiner, Rolf
8
1995
On Frobenius extensions defined by Hopf algebras. Zbl 0819.16031
Farnsteiner, Rolf
8
1994
Auslander-Reiten components for Lie algebras of reductive groups. Zbl 0970.16012
Farnsteiner, Rolf
7
2000
Varieties of tori and Cartan subalgebras of restricted Lie algebras. Zbl 1106.17022
Farnsteiner, Rolf
7
2004
On the Auslander-Reiten quiver of an infinitesimal group. Zbl 0976.16015
Farnsteiner, Rolf
7
2000
On the cohomology of associative algebras and Lie algebras. Zbl 0615.16018
Farnsteiner, Rolf
7
1987
Cohomology groups of reduced enveloping algebras. Zbl 0727.17009
Farnsteiner, Rolf
6
1991
Infinitesimal unipotent group schemes of complexity 1. Zbl 0989.16013
Farnsteiner, Rolf; Röhrle, Gerhard; Voigt, Detlef
6
2001
Galois actions and blocks of tame infinitesimal group schemes. Zbl 1132.16021
Farnsteiner, Rolf; Skowroński, Andrzej
6
2007
Auslander-Reiten components for \(G_1T\)-modules. Zbl 1109.20039
Farnsteiner, Rolf
6
2005
On the vanishing of homology and cohomology groups of associative algebras. Zbl 0647.16019
Farnsteiner, Rolf
6
1988
Conditions for the commutativity of restricted Lie algebras. Zbl 0565.17005
Farnsteiner, Rolf
5
1985
On Auslander-Reiten quivers of enveloping algebras of restricted Lie algebras. Zbl 0981.17007
Farnsteiner, Rolf
5
1999
Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem. Zbl 1331.17017
Bois, Jean-Marie; Farnsteiner, Rolf; Shu, Bin
5
2014
On the cohomology of ring extensions. Zbl 0734.16003
Farnsteiner, Rolf
5
1991
Cohomology groups of infinite dimensional algebras. Zbl 0637.17007
Farnsteiner, Rolf
5
1988
Quaternionic Lie algebras. Zbl 0548.17004
Farnsteiner, Rolf
4
1984
On support varieties of Auslander-Reiten components. Zbl 1032.17034
Farnsteiner, Rolf
4
1999
Group-graded algebras, extensions of infinitesimal groups, and applications. Zbl 1182.14052
Farnsteiner, R.
4
2009
Block representation type of Frobenius kernels of smooth groups. Zbl 1102.20029
Farnsteiner, Rolf
4
2005
Support spaces and Auslander-Reiten components. Zbl 1185.16023
Farnsteiner, Rolf
4
2007
Jordan types for indecomposable modules of finite group schemes. Zbl 1304.14058
Farnsteiner, Rolf
4
2014
Representations of finite group schemes and morphisms of projective varieties. Zbl 1378.14041
Farnsteiner, Rolf
3
2017
Modules of solvable infinitesimal groups and the structure of representation-finite cocommutative Hopf algebras. Zbl 0958.16040
Farnsteiner, Rolf; Voigt, Detlef
3
1999
Restricted Lie algebras with semilinear p-mappings. Zbl 0511.17004
Farnsteiner, Rolf
3
1984
Combinatorial and geometric aspects of the representation theory of finite group schemes. Zbl 1327.14204
Farnsteiner, Rolf
3
2012
Contributions to the cohomology theory of associative algebras. (Beiträge zur Kohomologietheorie assoziativer Algebren.) Zbl 1081.16500
Farnsteiner, Rolf
3
1989
Support varieties, AR-components, and good filtrations. Zbl 1220.16016
Farnsteiner, Rolf; Röhrle, Gerhard
3
2011
Schemes of tori and the structure of tame restricted Lie algebras. Zbl 1040.17015
Farnsteiner, Rolf; Voigt, Detlef
2
2001
Almost split sequences of Verma modules. Zbl 1009.16017
Farnsteiner, R.; Röhrle, G.
2
2002
Ad-semisimple Lie algebras and their applications. Zbl 0582.17005
Farnsteiner, Rolf
2
1986
Complexity, periodicity and one-parameter subgroups. Zbl 1285.14049
Farnsteiner, Rolf
2
2013
Extensions of tame algebras and finite group schemes of domestic representation type. Zbl 1358.16017
Farnsteiner, Rolf
2
2015
Finite group schemes of \(p\)-rank \(\leq 1\). Zbl 1445.14066
Chang, Hao; Farnsteiner, Rolf
1
2019
On the distribution of AR-components of restricted Lie algebras. Zbl 0964.17015
Farnsteiner, Rolf
1
1998
Auslander-Reiten theory for restricted Lie algebras. Zbl 0924.17015
Farnsteiner, R.
1
1998
Representations of nilpotent Lie algebras. Zbl 0924.17014
Farnsteiner, Rolf
1
1999
Lie theoretic methods in cohomology theory. Zbl 0669.16022
Farnsteiner, Rolf
1
1989
Lie-algebras with faithful completely reducible representations. Zbl 0445.17008
Farnsteiner, Rolf; Strade, Helmut
1
1981
Lie algebras with a coalgebra splitting. Zbl 1293.17026
Farnsteiner, Rolf
1
2011
Finite group schemes of \(p\)-rank \(\leq 1\). Zbl 1445.14066
Chang, Hao; Farnsteiner, Rolf
1
2019
Representations of finite group schemes and morphisms of projective varieties. Zbl 1378.14041
Farnsteiner, Rolf
3
2017
Extensions of tame algebras and finite group schemes of domestic representation type. Zbl 1358.16017
Farnsteiner, Rolf
2
2015
Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem. Zbl 1331.17017
Bois, Jean-Marie; Farnsteiner, Rolf; Shu, Bin
5
2014
Jordan types for indecomposable modules of finite group schemes. Zbl 1304.14058
Farnsteiner, Rolf
4
2014
Complexity, periodicity and one-parameter subgroups. Zbl 1285.14049
Farnsteiner, Rolf
2
2013
Combinatorial and geometric aspects of the representation theory of finite group schemes. Zbl 1327.14204
Farnsteiner, Rolf
3
2012
Support varieties, AR-components, and good filtrations. Zbl 1220.16016
Farnsteiner, Rolf; Röhrle, Gerhard
3
2011
Lie algebras with a coalgebra splitting. Zbl 1293.17026
Farnsteiner, Rolf
1
2011
Group-graded algebras, extensions of infinitesimal groups, and applications. Zbl 1182.14052
Farnsteiner, R.
4
2009
Tameness and complexity of finite group schemes. Zbl 1121.16015
Farnsteiner, Rolf
9
2007
Galois actions and blocks of tame infinitesimal group schemes. Zbl 1132.16021
Farnsteiner, Rolf; Skowroński, Andrzej
6
2007
Support spaces and Auslander-Reiten components. Zbl 1185.16023
Farnsteiner, Rolf
4
2007
The tame infinitesimal groups of odd characteristic. Zbl 1100.14037
Farnsteiner, Rolf; Skowroński, Andrzej
13
2006
Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. Zbl 1115.20035
Farnsteiner, Rolf
9
2006
Auslander-Reiten components for \(G_1T\)-modules. Zbl 1109.20039
Farnsteiner, Rolf
6
2005
Block representation type of Frobenius kernels of smooth groups. Zbl 1102.20029
Farnsteiner, Rolf
4
2005
Varieties of tori and Cartan subalgebras of restricted Lie algebras. Zbl 1106.17022
Farnsteiner, Rolf
7
2004
On infinitesimal groups of tame representation type. Zbl 1031.16022
Farnsteiner, Rolf; Voigt, Detlef
14
2003
Classification of restricted Lie algebras with tame principal block. Zbl 0989.17011
Farnsteiner, Rolf; Skowronski, Andrzej
19
2002
Almost split sequences of Verma modules. Zbl 1009.16017
Farnsteiner, R.; Röhrle, G.
2
2002
Infinitesimal unipotent group schemes of complexity 1. Zbl 0989.16013
Farnsteiner, Rolf; Röhrle, Gerhard; Voigt, Detlef
6
2001
Schemes of tori and the structure of tame restricted Lie algebras. Zbl 1040.17015
Farnsteiner, Rolf; Voigt, Detlef
2
2001
On cocommutative Hopf algebras of finite representation type. Zbl 0981.16030
Farnsteiner, Rolf; Voigt, Detlef
13
2000
Auslander-Reiten components for Lie algebras of reductive groups. Zbl 0970.16012
Farnsteiner, Rolf
7
2000
On the Auslander-Reiten quiver of an infinitesimal group. Zbl 0976.16015
Farnsteiner, Rolf
7
2000
On Auslander-Reiten quivers of enveloping algebras of restricted Lie algebras. Zbl 0981.17007
Farnsteiner, Rolf
5
1999
On support varieties of Auslander-Reiten components. Zbl 1032.17034
Farnsteiner, Rolf
4
1999
Modules of solvable infinitesimal groups and the structure of representation-finite cocommutative Hopf algebras. Zbl 0958.16040
Farnsteiner, Rolf; Voigt, Detlef
3
1999
Representations of nilpotent Lie algebras. Zbl 0924.17014
Farnsteiner, Rolf
1
1999
On the distribution of AR-components of restricted Lie algebras. Zbl 0964.17015
Farnsteiner, Rolf
1
1998
Auslander-Reiten theory for restricted Lie algebras. Zbl 0924.17015
Farnsteiner, R.
1
1998
Representations of blocks associated to induced modules of restricted Lie algebras. Zbl 0854.17021
Farnsteiner, Rolf
12
1996
Note on Frobenius extensions and restricted Lie superalgebras. Zbl 0854.17022
Farnsteiner, Rolf
9
1996
Periodicity and representation type of modular Lie algebras. Zbl 0823.17025
Farnsteiner, Rolf
17
1995
Representations of Lie algebras with triangular decomposition. Zbl 0849.17017
Farnsteiner, Rolf
8
1995
On Frobenius extensions defined by Hopf algebras. Zbl 0819.16031
Farnsteiner, Rolf
8
1994
On the theory of Frobenius extensions and its application to Lie superalgebras. Zbl 0811.16013
Bell, Allen D.; Farnsteiner, Rolf
22
1993
Shapiro’s lemma and its consequences in the cohomology theory of modular Lie algebras. Zbl 0727.17010
Farnsteiner, Rolf; Strade, Helmut
20
1991
Cohomology groups of reduced enveloping algebras. Zbl 0727.17009
Farnsteiner, Rolf
6
1991
On the cohomology of ring extensions. Zbl 0734.16003
Farnsteiner, Rolf
5
1991
Extension functors of modular Lie algebras. Zbl 0731.17007
Farnsteiner, Rolf
10
1990
Contributions to the cohomology theory of associative algebras. (Beiträge zur Kohomologietheorie assoziativer Algebren.) Zbl 1081.16500
Farnsteiner, Rolf
3
1989
Lie theoretic methods in cohomology theory. Zbl 0669.16022
Farnsteiner, Rolf
1
1989
Modular Lie algebras and their representations. Zbl 0648.17003
Strade, Helmut; Farnsteiner, Rolf
260
1988
Derivations and central extensions of finitely generated graded Lie algebras. Zbl 0658.17013
Farnsteiner, Rolf
66
1988
On the vanishing of homology and cohomology groups of associative algebras. Zbl 0647.16019
Farnsteiner, Rolf
6
1988
Cohomology groups of infinite dimensional algebras. Zbl 0637.17007
Farnsteiner, Rolf
5
1988
Dual space derivations and H 2(L,F) of modular Lie algebras. Zbl 0631.17005
Farnsteiner, Rolf
14
1987
On the cohomology of associative algebras and Lie algebras. Zbl 0615.16018
Farnsteiner, Rolf
7
1987
Central extensions and invariant forms of graded Lie algebras. Zbl 0621.17012
Farnsteiner, Rolf
13
1986
The associative forms of the graded Cartan type Lie algebras. Zbl 0591.17009
Farnsteiner, Rolf
9
1986
Ad-semisimple Lie algebras and their applications. Zbl 0582.17005
Farnsteiner, Rolf
2
1986
Conditions for the commutativity of restricted Lie algebras. Zbl 0565.17005
Farnsteiner, Rolf
5
1985
On the structure of simple-semiabelian Lie algebras. Zbl 0534.17003
Farnsteiner, Rolf
9
1984
Quaternionic Lie algebras. Zbl 0548.17004
Farnsteiner, Rolf
4
1984
Restricted Lie algebras with semilinear p-mappings. Zbl 0511.17004
Farnsteiner, Rolf
3
1984
On ad-semisimple Lie algebras. Zbl 0521.17003
Farnsteiner, Rolf
21
1983
Lie-algebras with faithful completely reducible representations. Zbl 0445.17008
Farnsteiner, Rolf; Strade, Helmut
1
1981
all top 5

Cited by 344 Authors

34 Farnsteiner, Rolf
20 Shu, Bin
20 Siciliano, Salvatore
16 Zhang, Yongzheng
12 Feldvoss, Jörg
11 Chen, Liangyun
11 Liu, Wende
11 Riley, David Michael
11 Strade, Helmut
11 Su, Yucai
11 Usefi, Hamid
11 Yao, Yufeng
10 Nakano, Daniel K.
10 Skowroński, Andrzej
9 Towers, David A.
9 Zusmanovich, Pasha
8 Varea Agudo, Vicente R.
8 Zhang, Chaowen
7 Chang, Hao
7 Holmes, Randall R.
7 Petrogradsky, Victor Mikhaylovich
6 Elduque, Alberto
6 Hu, Naihong
6 Liu, Dong
6 Pei, Yufeng
6 Premet, Alexander A.
5 Fukaya, Takako
5 Jiang, Cuipo
5 Kuznetsov, Michael I.
5 Meng, Daoji
5 Tan, Shao Bin
5 Yuan, Lamei
4 Bois, Jean-Marie
4 Caranti, Andrea
4 Gao, Shoulan
4 Han, Jianzhi
4 Li, JunBo
4 Liu, Gongxiang
4 Topley, Lewis William
4 Wang, Wei
4 Weigel, Thomas S.
4 Xu, Xiaoning
4 Yamagata, Kunio
3 Benkart, Georgia M.
3 Bouarroudj, Sofiane
3 Bowman, Kevin
3 Chen, Chih-Whi
3 Erdmann, Karin
3 Garibaldi, Skip
3 Gordon, Iain Grant
3 Gorelik, Maria
3 Guralnick, Robert Michael
3 Jantzen, Jens Carsten
3 Mattarei, Sandro
3 Shen, Guangyu
3 Skryabin, Serge
3 Song, Guang’ai
3 Subbotin, Igor Yakov
3 Viviani, Filippo
3 Wang, Song
3 Wu, Yongping
3 Xia, Chunguang
3 Xu, Ying
3 Yue, Xiaoqing
3 Zhao, Kaiming
2 Abrams, William P.
2 Ardakov, Konstantin
2 Barnes, Donald W.
2 Bendel, Christopher P.
2 Boe, Brian Douglas
2 Bovdi, Victor A.
2 Brown, Kenneth Alexander
2 Carlson, Jon Frederick
2 Chang, Yuan
2 Chen, Qiufan
2 Chin, William
2 Chiu, Sen
2 Chupordya, Vasiliy Anatolievich
2 Coulembier, Kevin
2 Evans, Tyler J.
2 Fan, Guangzhe
2 Fialowski, Alice
2 Friedlander, Eric Mark
2 Fu, Jiayuan
2 Gregory, Thomas B.
2 Grishkov, Alexander Nikolaevich
2 Grunewald, Fritz J.
2 Jespers, Eric
2 Jiang, Zhihong
2 Kujawa, Jonathan R.
2 Külshammer, Julian
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Kurdachenko, Leonid Andriĭovych
2 Leinen, Felix
2 Leites, Dimitry A.
2 Li, Yiyang
2 Lian, Haifeng
2 Lin, Zongzhu
2 Mazorchuk, Volodymyr
2 Militaru, Gigel
...and 244 more Authors
all top 5

Cited in 80 Serials

97 Journal of Algebra
64 Communications in Algebra
22 Journal of Pure and Applied Algebra
17 Transactions of the American Mathematical Society
17 Algebras and Representation Theory
15 Proceedings of the American Mathematical Society
14 Frontiers of Mathematics in China
13 Algebra Colloquium
12 Acta Mathematica Sinica. English Series
11 Journal of Algebra and its Applications
9 Advances in Mathematics
9 Mathematische Zeitschrift
8 Transformation Groups
6 Israel Journal of Mathematics
6 International Journal of Algebra and Computation
6 Linear Algebra and its Applications
5 Archiv der Mathematik
5 Mathematische Annalen
5 Chinese Annals of Mathematics. Series B
4 Indagationes Mathematicae. New Series
3 Manuscripta Mathematica
3 Monatshefte für Mathematik
3 Journal of the American Mathematical Society
3 Forum Mathematicum
3 Science China. Mathematics
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Compositio Mathematica
2 Kodai Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Science in China. Series A
2 International Journal of Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Chinese Science Bulletin
2 Selecta Mathematica. New Series
2 Representation Theory
2 Communications in Contemporary Mathematics
2 Journal of the Australian Mathematical Society
2 Arnold Mathematical Journal
1 Communications in Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Programming and Computer Software
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Bulletin of the American Mathematical Society. New Series
1 Acta Mathematica Sinica. New Series
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Georgian Mathematical Journal
1 Journal of Lie Theory
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Algebraic & Geometric Topology
1 Journal of the Institute of Mathematics of Jussieu
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Algebra & Number Theory
1 Asian-European Journal of Mathematics
1 Bulletin of the Georgian National Academy of Sciences. New Series
1 Carpathian Mathematical Publications
1 Open Mathematics
1 Advances in Group Theory and Applications

Citations by Year