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Holm, Thorsten

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Author ID: holm.thorsten Recent zbMATH articles by "Holm, Thorsten"
Published as: Holm, Thorsten
Documents Indexed: 57 Publications since 1994, including 4 Books

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 517 times in 318 Documents Cited by Year
Radical embeddings and representation dimension. Zbl 1062.16006
Erdmann, Karin; Holm, Thorsten; Iyama, Osamu; Schröer, Jan
59
2004
Twisted bimodules and Hochschild cohomology for self-injective algebras of class \(A_n\). Zbl 0937.16014
Erdmann, Karin; Holm, Thorsten
43
1999
Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type. Zbl 0932.16009
Holm, Thorsten
40
1999
On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon. Zbl 1234.13020
Holm, Thorsten; Jørgensen, Peter
26
2012
Twisted bimodules and Hochschild cohomology for self-injective algebras of class \(A_n\). II. Zbl 1058.16007
Erdmann, Karin; Holm, Thorsten; Snashall, Nicole
26
2002
The Hochschild cohomology ring of a modular group algebra: The commutative case. Zbl 0853.16016
Holm, Thorsten
23
1996
Hochschild cohomology rings of algebras \(k[X]/(f)\). Zbl 0961.13006
Holm, Thorsten
22
2000
Derived equivalent tame blocks. Zbl 0878.20007
Holm, Thorsten
19
1997
Maximal \(n\)-orthogonal modules for selfinjective algebras. Zbl 1153.16010
Erdmann, Karin; Holm, Thorsten
14
2008
Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type \(A _{n }\). Zbl 1229.05220
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
12
2011
Hochschild cohomology of tame blocks. Zbl 1041.16004
Holm, Thorsten
11
2004
Derived equivalences for tame weakly symmetric algebras having only periodic modules. Zbl 1050.16010
Białkowski, Jerzy; Holm, Thorsten; Skowroński, Andrzej
11
2003
Derived equivalence classification of symmetric algebras of domestic type. Zbl 1108.18007
Holm, Thorsten; Skowroński, Andrzej
10
2006
Derived equivalence classification of weakly symmetric algebras of Euclidean type. Zbl 1063.16015
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
10
2004
Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object. Zbl 1264.16010
Holm, Thorsten; Jørgensen, Peter; Yang, Dong
9
2013
Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type. Zbl 1160.16009
Holm, Thorsten; Zimmermann, Alexander
9
2008
Generalized Reynolds ideals for non-symmetric algebras. Zbl 1119.16001
Bessenrodt, Christine; Holm, Thorsten; Zimmermann, Alexander
9
2007
Cartan determinants for gentle algebras. Zbl 1084.16009
Holm, Thorsten
9
2005
Cluster tilting vs. weak cluster tilting in Dynkin type A infinity. Zbl 1349.13047
Holm, Thorsten; Jørgensen, Peter
8
2015
Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type \(D\). Zbl 1348.16011
Bastian, Janine; Holm, Thorsten; Ladkani, Sefi
8
2014
Derived equivalence classification of the cluster-tilted algebras of Dynkin type \(E\). Zbl 1283.16011
Bastian, Janine; Holm, Thorsten; Ladkani, Sefi
8
2013
Triangulated categories: definitions, properties, and examples. Zbl 1221.18008
Holm, Thorsten; Jørgensen, Peter
8
2010
On the relation between cluster and classical tilting. Zbl 1231.16015
Holm, Thorsten; Jørgensen, Peter
8
2010
Torsion pairs in cluster tubes. Zbl 1291.05216
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
7
2014
The representation dimension of domestic weakly symmetric algebras. Zbl 1062.16005
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
7
2004
On nonstandard tame selfinjective algebras having only periodic modules. Zbl 1071.16009
Białkowski, Jerzy; Holm, Thorsten; Skowroński, Andrzej
7
2003
Generalized friezes and a modified Caldero-Chapoton map depending on a rigid object. Zbl 1314.05221
Holm, Thorsten; Jørgensen, Peter
6
2015
\(\mathrm{SL}_{2}\)-tilings and triangulations of the strip. Zbl 1317.05186
Holm, Thorsten; Jørgensen, Peter
6
2013
Deformed preprojective algebras of type \(L\): Külshammer spaces and derived equivalences. Zbl 1253.16013
Holm, Thorsten; Zimmermann, Alexander
6
2011
Derived equivalence classification of symmetric algebras of polynomial growth. Zbl 1264.16013
Holm, Thorsten; Skowroński, Andrzej
6
2011
Derived equivalence classification of one-parametric self-injective algebras. Zbl 1155.16008
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
6
2006
Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object. II. Zbl 1335.05196
Holm, Thorsten; Jørgensen, Peter
5
2016
Generalized frieze pattern determinants and higher angulations of polygons. Zbl 1280.05016
Bessenrodt, Christine; Holm, Thorsten; Jørgensen, Peter
5
2014
Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type \(D\). Zbl 1301.05021
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
5
2013
\(q\)-Cartan matrices and combinatorial invariants of derived categories for skewed-gentle algebras. Zbl 1160.16006
Bessenrodt, Christine; Holm, Thorsten
5
2007
Representation dimension of some tame blocks of finite groups. Zbl 1035.20008
Holm, Thorsten
5
2003
Weighted locally gentle quivers and Cartan matrices. Zbl 1141.16015
Bessenrodt, Christine; Holm, Thorsten
4
2008
Derived equivalence classification of nonstandard selfinjective algebras of domestic type. Zbl 1168.16004
Bocian, Rafał; Skowrońki, Andrzej; Holm, Thorsten
4
2007
The representation dimension of Schur algebras: the tame case. Zbl 1082.16010
Holm, Thorsten
4
2004
Hochschild cohomology of Brauer tree algebras. Zbl 0938.16005
Holm, Thorsten
4
1998
The even Hochschild cohomology ring of a block with cyclic defect group. Zbl 0840.16010
Holm, Thorsten
4
1995
Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type \(A_{ \infty }\). Zbl 1442.13069
Gratz, Sira; Holm, Thorsten; Jørgensen, Peter
3
2019
All \(\operatorname{SL}_{2}\)-tilings come from infinite triangulations. Zbl 1367.05208
Bessenrodt, Christine; Holm, Thorsten; Jørgensen, Peter
3
2017
A local conjecture on Brauer character degrees of finite groups. Zbl 1113.20014
Holm, Thorsten; Willems, Wolfgang
3
2007
Frieze patterns over integers and other subsets of the complex numbers. Zbl 1448.05222
Cuntz, Michael; Holm, Thorsten
2
2019
Realizing higher cluster categories of Dynkin type as stable module categories. Zbl 1300.16016
Holm, Thorsten; Jørgensen, Peter
2
2013
Derived categories, derived equivalences and representation theory. Zbl 0972.18007
Holm, Thorsten
2
1998
Triangulated categories. Based on a workshop, Leeds, UK, August 2006. Zbl 1195.18001
Holm, Thorsten (ed.); Jørgensen, Peter (ed.); Rouquier, Raphaël (ed.)
1
2010
Blocks with a quaternion defect group over a 2-adic ring: the case \(\widetilde A_4\). Zbl 1127.20011
Holm, Thorsten; Kessar, Radha; Linckelmann, Markus
1
2007
The representation dimension of \(k[x,y]/(x^2,y^n)\). Zbl 1111.16012
Holm, Thorsten; Hu, Wei
1
2006
Hochschild cohomology of the integral group ring of a cyclic group and related algebras. Zbl 0861.16003
Holm, Thorsten
1
1996
Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type \(A_{ \infty }\). Zbl 1442.13069
Gratz, Sira; Holm, Thorsten; Jørgensen, Peter
3
2019
Frieze patterns over integers and other subsets of the complex numbers. Zbl 1448.05222
Cuntz, Michael; Holm, Thorsten
2
2019
All \(\operatorname{SL}_{2}\)-tilings come from infinite triangulations. Zbl 1367.05208
Bessenrodt, Christine; Holm, Thorsten; Jørgensen, Peter
3
2017
Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object. II. Zbl 1335.05196
Holm, Thorsten; Jørgensen, Peter
5
2016
Cluster tilting vs. weak cluster tilting in Dynkin type A infinity. Zbl 1349.13047
Holm, Thorsten; Jørgensen, Peter
8
2015
Generalized friezes and a modified Caldero-Chapoton map depending on a rigid object. Zbl 1314.05221
Holm, Thorsten; Jørgensen, Peter
6
2015
Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type \(D\). Zbl 1348.16011
Bastian, Janine; Holm, Thorsten; Ladkani, Sefi
8
2014
Torsion pairs in cluster tubes. Zbl 1291.05216
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
7
2014
Generalized frieze pattern determinants and higher angulations of polygons. Zbl 1280.05016
Bessenrodt, Christine; Holm, Thorsten; Jørgensen, Peter
5
2014
Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object. Zbl 1264.16010
Holm, Thorsten; Jørgensen, Peter; Yang, Dong
9
2013
Derived equivalence classification of the cluster-tilted algebras of Dynkin type \(E\). Zbl 1283.16011
Bastian, Janine; Holm, Thorsten; Ladkani, Sefi
8
2013
\(\mathrm{SL}_{2}\)-tilings and triangulations of the strip. Zbl 1317.05186
Holm, Thorsten; Jørgensen, Peter
6
2013
Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type \(D\). Zbl 1301.05021
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
5
2013
Realizing higher cluster categories of Dynkin type as stable module categories. Zbl 1300.16016
Holm, Thorsten; Jørgensen, Peter
2
2013
On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon. Zbl 1234.13020
Holm, Thorsten; Jørgensen, Peter
26
2012
Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type \(A _{n }\). Zbl 1229.05220
Holm, Thorsten; Jørgensen, Peter; Rubey, Martin
12
2011
Deformed preprojective algebras of type \(L\): Külshammer spaces and derived equivalences. Zbl 1253.16013
Holm, Thorsten; Zimmermann, Alexander
6
2011
Derived equivalence classification of symmetric algebras of polynomial growth. Zbl 1264.16013
Holm, Thorsten; Skowroński, Andrzej
6
2011
Triangulated categories: definitions, properties, and examples. Zbl 1221.18008
Holm, Thorsten; Jørgensen, Peter
8
2010
On the relation between cluster and classical tilting. Zbl 1231.16015
Holm, Thorsten; Jørgensen, Peter
8
2010
Triangulated categories. Based on a workshop, Leeds, UK, August 2006. Zbl 1195.18001
Holm, Thorsten (ed.); Jørgensen, Peter (ed.); Rouquier, Raphaël (ed.)
1
2010
Maximal \(n\)-orthogonal modules for selfinjective algebras. Zbl 1153.16010
Erdmann, Karin; Holm, Thorsten
14
2008
Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type. Zbl 1160.16009
Holm, Thorsten; Zimmermann, Alexander
9
2008
Weighted locally gentle quivers and Cartan matrices. Zbl 1141.16015
Bessenrodt, Christine; Holm, Thorsten
4
2008
Generalized Reynolds ideals for non-symmetric algebras. Zbl 1119.16001
Bessenrodt, Christine; Holm, Thorsten; Zimmermann, Alexander
9
2007
\(q\)-Cartan matrices and combinatorial invariants of derived categories for skewed-gentle algebras. Zbl 1160.16006
Bessenrodt, Christine; Holm, Thorsten
5
2007
Derived equivalence classification of nonstandard selfinjective algebras of domestic type. Zbl 1168.16004
Bocian, Rafał; Skowrońki, Andrzej; Holm, Thorsten
4
2007
A local conjecture on Brauer character degrees of finite groups. Zbl 1113.20014
Holm, Thorsten; Willems, Wolfgang
3
2007
Blocks with a quaternion defect group over a 2-adic ring: the case \(\widetilde A_4\). Zbl 1127.20011
Holm, Thorsten; Kessar, Radha; Linckelmann, Markus
1
2007
Derived equivalence classification of symmetric algebras of domestic type. Zbl 1108.18007
Holm, Thorsten; Skowroński, Andrzej
10
2006
Derived equivalence classification of one-parametric self-injective algebras. Zbl 1155.16008
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
6
2006
The representation dimension of \(k[x,y]/(x^2,y^n)\). Zbl 1111.16012
Holm, Thorsten; Hu, Wei
1
2006
Cartan determinants for gentle algebras. Zbl 1084.16009
Holm, Thorsten
9
2005
Radical embeddings and representation dimension. Zbl 1062.16006
Erdmann, Karin; Holm, Thorsten; Iyama, Osamu; Schröer, Jan
59
2004
Hochschild cohomology of tame blocks. Zbl 1041.16004
Holm, Thorsten
11
2004
Derived equivalence classification of weakly symmetric algebras of Euclidean type. Zbl 1063.16015
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
10
2004
The representation dimension of domestic weakly symmetric algebras. Zbl 1062.16005
Bocian, Rafał; Holm, Thorsten; Skowroński, Andrzej
7
2004
The representation dimension of Schur algebras: the tame case. Zbl 1082.16010
Holm, Thorsten
4
2004
Derived equivalences for tame weakly symmetric algebras having only periodic modules. Zbl 1050.16010
Białkowski, Jerzy; Holm, Thorsten; Skowroński, Andrzej
11
2003
On nonstandard tame selfinjective algebras having only periodic modules. Zbl 1071.16009
Białkowski, Jerzy; Holm, Thorsten; Skowroński, Andrzej
7
2003
Representation dimension of some tame blocks of finite groups. Zbl 1035.20008
Holm, Thorsten
5
2003
Twisted bimodules and Hochschild cohomology for self-injective algebras of class \(A_n\). II. Zbl 1058.16007
Erdmann, Karin; Holm, Thorsten; Snashall, Nicole
26
2002
Hochschild cohomology rings of algebras \(k[X]/(f)\). Zbl 0961.13006
Holm, Thorsten
22
2000
Twisted bimodules and Hochschild cohomology for self-injective algebras of class \(A_n\). Zbl 0937.16014
Erdmann, Karin; Holm, Thorsten
43
1999
Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type. Zbl 0932.16009
Holm, Thorsten
40
1999
Hochschild cohomology of Brauer tree algebras. Zbl 0938.16005
Holm, Thorsten
4
1998
Derived categories, derived equivalences and representation theory. Zbl 0972.18007
Holm, Thorsten
2
1998
Derived equivalent tame blocks. Zbl 0878.20007
Holm, Thorsten
19
1997
The Hochschild cohomology ring of a modular group algebra: The commutative case. Zbl 0853.16016
Holm, Thorsten
23
1996
Hochschild cohomology of the integral group ring of a cyclic group and related algebras. Zbl 0861.16003
Holm, Thorsten
1
1996
The even Hochschild cohomology ring of a block with cyclic defect group. Zbl 0840.16010
Holm, Thorsten
4
1995
all top 5

Cited by 282 Authors

26 Holm, Thorsten
19 Generalov, Aleksandr Ivanovich
16 Skowroński, Andrzej
12 Jørgensen, Peter Bjørn
11 Erdmann, Karin
11 Zimmermann, Alexander
10 Iyama, Osamu
9 Huang, Zhaoyong
9 Zhu, Bin
8 Zhou, Guodong
7 Bergh, Petter Andreas
6 Assem, Ibrahim
6 Gratz, Sira
6 Oppermann, Steffen
6 Pauksztello, David
5 Baur, Karin
5 Dugas, Alex S.
5 Liu, Yuming
4 Bessenrodt, Christine
4 Białkowski, Jerzy
4 Bleher, Frauke M.
4 Bocian, Rafał
4 Coelho Simões, Raquel
4 Eisele, Florian
4 Ivanov, Aleksandr Aleksandrovich
4 Liu, Pin
4 Palu, Yann
4 Trepode, Sonia Elisabet
4 Vélez-Marulanda, José A.
4 Volkov, Yu. V.
4 Xi, Changchang
4 Xu, Dengming
4 Xu, Yunge
4 Zhang, Pu
4 Zhang, Xiaojin
3 Buan, Aslak Bakke
3 Chang, Huimin
3 Coelho, Flávio Ulhoa
3 Hayami, Takao
3 König, Steffen
3 Külshammer, Julian
3 Lu, Ming
3 Marcos, Eduardo N.
3 Marsh, Robert James
3 Saorín, Manuel
3 Schroll, Sibylle
3 Sköldberg, Emil
3 Snashall, Nicole
3 Todorov, Gordana
3 Volkov, Yuriĭ S.
3 Wei, Jiaqun
3 Yang, Wuzhong
3 Zhang, Shunhua
3 Zhou, Yu
2 Andreu Juan, Estefanía
2 Bastian, Janine
2 Bobiński, Grzegorz
2 Broomhead, Nathan T.
2 Canakci, Ilke
2 Chang, Wen
2 Chen, Xinhong
2 Cibils, Claude
2 Geng, Shengfei
2 Giraldo, Hernán
2 Green, Edward Lee
2 Guo, Shufeng
2 Happel, Dieter
2 Igusa, Kiyoshi
2 Ivanov, Sergei Olegovich
2 Jorgensen, David A.
2 Kachalova, M. A.
2 Kosovskaya, N. Yu.
2 Lada, Magdalini
2 Ladkani, Sefi
2 Lekili, Yankı
2 Li, Yanbo
2 Li, Zhiwei
2 Linckelmann, Markus
2 Liu, Gongxiang
2 Llosent, Giovanna
2 Lv, Hongbo
2 Mazorchuk, Volodymyr
2 Morier-Genoud, Sophie
2 Obara, Daiki
2 Parsons, Mark James
2 Ploog, David
2 Psaroudakis, Chrysostomos
2 Pustovykh, M. A.
2 Raedschelders, Theo
2 Reiten, Idun
2 Roggenkamp, Klaus W.
2 Romanova, D. B.
2 Rubey, Martin
2 Sambale, Benjamin
2 Sanada, Katsunori
2 Sánchez-Flores, Selene
2 Schaefer, Jennifer B.
2 Schiffler, Ralf
2 Serhiyenko, Khrystyna
2 Shah, Amit
...and 182 more Authors
all top 5

Cited in 62 Serials

74 Journal of Algebra
33 Communications in Algebra
30 Journal of Pure and Applied Algebra
21 Journal of Mathematical Sciences (New York)
17 Algebras and Representation Theory
16 Advances in Mathematics
10 Mathematische Zeitschrift
8 Transactions of the American Mathematical Society
7 St. Petersburg Mathematical Journal
7 Science China. Mathematics
6 Archiv der Mathematik
6 Proceedings of the American Mathematical Society
5 Acta Mathematica Sinica. English Series
4 Nagoya Mathematical Journal
3 Bulletin of the London Mathematical Society
3 Journal of Combinatorial Theory. Series A
3 Manuscripta Mathematica
3 Journal of Algebra and its Applications
2 Beiträge zur Algebra und Geometrie
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Glasgow Mathematical Journal
2 Inventiones Mathematicae
2 Memoirs of the American Mathematical Society
2 Advances in Applied Mathematics
2 Forum Mathematicum
2 International Journal of Algebra and Computation
2 Applied Categorical Structures
2 Algebra Colloquium
2 Bulletin des Sciences Mathématiques
2 Journal of Noncommutative Geometry
1 Bulletin of the Australian Mathematical Society
1 Annales de l’Institut Fourier
1 Illinois Journal of Mathematics
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Revista Colombiana de Matemáticas
1 European Journal of Combinatorics
1 Chinese Annals of Mathematics. Series B
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Algebraic Combinatorics
1 Selecta Mathematica. New Series
1 Séminaire Lotharingien de Combinatoire
1 Geometry & Topology
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Algebraic & Geometric Topology
1 Journal of the Australian Mathematical Society
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Frontiers of Mathematics in China
1 São Paulo Journal of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Transactions of the American Mathematical Society. Series B
1 Journal of Combinatorial Algebra
1 Higher Structures

Citations by Year