Susanne Danz Publications
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Diploma Thesis

S. Danz: Symmetrische Algebren und Gruppenalgebren --- Zentren, Ideale, Cartan-Invarianten. Diplomarbeit, FSU Jena (2005).

PhD Thesis

S. Danz: Theoretische und algorithmische Methoden zur Berechnung von Vertizes irreduzibler Moduln symmetrischer Gruppen. PhD Thesis, FSU Jena (2007).

Scientific Papers (peer-reviewed)

1 S. Danz: On vertices of exterior powers of the natural simple module for the symmetric group in odd characteristic. Arch. Math. 89 (2007), 485--496.
2 S. Danz: Vertices of low-dimensional simple modules for symmetric groups. Comm. Algebra 36 (2008), 4521--4539.
3 S. Danz, B. Külshammer, R. Zimmermann: On vertices of simple modules for symmetric groups of small degrees. J. Algebra 320 (2008), 680--707.
4 S. Danz, R. Zimmermann: Vertices of simple modules for the symmetric groups in blocks of small weights. Beiträge Algebra Geom. 49 (2008), 409--427.
5 S. Danz, B. Külshammer: Vertices of simple modules for symmetric groups: A survey. Proceedings of the International Conference on Modules and Representation Theory, Babes-Bolyai University Cluj-Napoca (2008), 61--77.
6 S. Danz: On vertices of completely splittable modules for symmetric groups and simple modules labelled by two-part partitions. J. Group Theory 12 (2009), 351--385.
7 S. Danz, B. Külshammer: The vertices and sources of the basic spin module for the symmetric group in characteristic 2. J. Pure Appl. Algebra 213 (2009), 1264--1282.
8 S. Danz, B. Külshammer: Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups. J. Algebra 322 (2009), 3919--3949.
9 S. Danz, B. Külshammer: Vertices of small order for simple modules of finite symmetric groups. Algebra Colloq. 17 (2010), 75--86.
10 S. Danz, B. Külshammer: Appendix: Depth of subgroups -- some examples (in: S. Burciu, L. Kadison, B. Külshammer, On subgroup depth). IEJA 9 (2011), 133--166.
11 S. Danz: The depth of some twisted group algebra extensions. Comm. Algebra 39 (2011), 1--15.
12 R. Boltje, S. Danz, B. Külshammer: On the depth of subgroups and group algebra extensions. J. Algebra 335 (2011), 258--281.
13 S. Danz, J. Müller: The vertices and sources of the natural simple module for the alternating group in even characteristic. Comm. Algebra 39 (2011), 1--25.
14 S. Danz, K. Erdmann: The vertices of a class of Specht modules and simple modules for the symmetric group in characteristic 2. Algebra Colloq. 19 (2012), 987--1016.
15 R. Boltje, S. Danz: A ghost ring for the left-free double Burnside ring and an application to fusion systems. Adv. Math. 229 (2012), 1688--1733.
16 S. Danz, J. Müller: Source algebras of blocks, sources of simple modules, and a conjecture of Feit. J. Algebra 353 (2012), 187--211.
17 R. Boltje, S. Danz: Twisted split category algebras as quasi-hereditary algebras. Arch. Math. 99 (2012), 589--600.
18 R. Boltje, S. Danz: A ghost algebra of the double Burnside algebra in characteristic zero. J. Pure Appl. Algebra 217 (2013), 608--635.
19 S. Danz, H. Ellers, J. Murray: The centralizer of a subgroup in a group algebra. Proc. Edinb. Math. Soc. 56 (2013), 49--56.
20 S. Danz, K. Erdmann: Specht modules in the Auslander--Reiten quiver. J. Algebra 397 (2014), 343--364.
21 S. Danz, K. Erdmann: Crossed Products as Twisted Category Algebras. to appear in Algebr. Represent. Theory, PDF.

Preprints

22 R. Bryant, S. Danz, K. Erdmann, J. Müller: Vertices of Lie Modules. submitted, arXiv:1309.2085.
23 R. Boltje, S. Danz: Quasi-Hereditary Structure of Twisted Split Category Algebras Revisited. submitted, arXiv:1405.0976.
24 S. Danz, E. Giannelli: Vertices of Simple Modules of Symmetric Groups Labelled by Hook Partitions. submitted, arXiv:1407.1845.

Other Publications

25 S. Danz: On vertices of simple modules for symmetric groups labelled by two-part partitions. Oberwolfach Reports 17/2009 (2009), 932--933, DOI: 10.41.71/OWR/2009/17.
26 S. Danz: The Lie module of the symmetric group --- some computational experiments. Oberwolfach Reports 21/2011 (2011), 6--7, DOI: 10.4171/OWR/2011/21.
Univ. of KaiserslauternDept. of MathematicsWG Algebra & GeometryCAS SINGULAR KIS