Rolf Farnsteiner               Professor für Mathematik

Office/Raum:       LMS4-321         Sprechstunde:      Mittwoch 13:00- 14:00                                       und nach Vereinbarung           Phone: ++49-(0)431-880-2787         Fax: ++49-(0)431-880-4091         Email: rolf at math.uni-kiel.de

Teaching

Summer 2013

• Algebra II
• Übungen zur Algebra II
• Seminar on Lie- and Representation Theory 

Winter 2012

• Algebra I
• Übungen zur Algebra I
• Seminar zur Darstellungstheorie von Köchern
• Seminar on Lie- and Representation Theory 

Erasmus-Programm

Research 

Fields of Interest

Algebraic Lie Theory and Representation Theory

• Algebraic Groups
• Modular Lie Algebras
• Universal Enveloping Algebras
• Representations of Associative Algebras (Auslander-Reiten Theory)
• Module Varieties(Support Varieties, Rank Varieties, p-Points)

Homological Algebra

• Homology of Associative Algebras
• Ordinary and Restricted Cohomology of Restricted Lie Algebras

Project      Combinatorial and Geometric Aspects of the Representation Theory of Finite Group Schemes (2009-2015) (pdf-file)

Publications and Lectures

Preprints and Recent Papers

• Group-graded algebras, extensions of infinitesimal groups, and applications. (ps-file), (pdf-file)
  Transform. Groups 14 (2009), 127-162

• Lie algebras with a coalgebra splitting. (ps-file), (pdf-file)
  Algebr. Represent. Theory 14 (2011), 87-96

• Support varieties, AR-components and good filtrations. (with Gerhard Röhrle) (pdf-file)
  Math. Z. 267 (2011), 185-219

• Combinatorial and geometric aspects of the representation theory of finite algebraic groups ( pdf-file)
  In: Lie Theory and Representation Theory. Surveys of  Modern Mathematics 2 (2012), 47-144

• Complexity, periodicity and one-parameter subgroups (pdf-file)
  Trans. Amer. Math. Soc. 365 (2013), 1487-1531

• Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem. (with Jean-Marie Bois and Bin Shu) (pdf-file)
  Forum Math. (to appear)

• Jordan types for indecomposable modules of finite group schemes (pdf-file)
  J. Eur. Math. Soc. (JEMS) (to appear)

• Extensions of tame algebras and finite group schemes of domestic representation type. (pdf-file)
  Forum Math. (to appear)

• Categories of modules given by varieties of p-nilpotent operators. (pdf-file)

Lectures

• Selected Topics in Representation Theory (Lectures by P. Fahr, R. Farnsteiner, L. Hille, A. Holtmann, C.M. Ringel and R. Waldmüller)

• Conference on Frobenius Algebras and Related Topics, Torun, September 2003
  Lecture Series: ''Subgroup Varieties and Representations of Infinitesimal Groups" (pdf-file)

• University of Bielefeld, April 2007
  Lecture Series: "Support Varieties, p-Points and Jordan Type" (pdf-file)

• Isaac Newton Institute Cambridge, March 2009
  Lecture: "Support Spaces, Jordan Types and Indecomposable Modules" (pdf-file)

• University of Bielefeld, April 2009
  Lecture Series: "Support Varieties, AR-Components and Good Filtrations" (pdf-file)

• Conference on Advances in Group Theory and Application, Lecce, June 2011
  Lecture Series: "Dynkin Diagrams, Support Spaces and Representation Type" (Lecture I), (Lecture II), (Lecture III)

• Third Summer School and Workshop on Lie Theory and Representation Theory, ECNU, Shanghai, June 2012
  Lecture Series: ''Nilpotent Operators, Categories of Modules, and Auslander-Reiten Theory'' (pdf-file)

Editorships

• The Open Mathematics Journal (link)
• ISRN Geometry (link)

Links

Meetings in Kiel

• 13th NWDR Workshop June 5 - June 6, 2009

Representation Theory Web-Sites

• fdlist              (Information on Conferences, Places, People and more) 
• BIREP          (Representation Theory of Algebras at Bielefeld)

Links to Homepages of some Colleagues

Last update: April 07, 2013