Research Interests

Algebra, Combinatorics, Algebraic Combinatorics, Group Theory, Representation Theory, Computer Algebra, Finite Coxeter Groups, Iwahori-Hecke Algebras.

 

Books

Geck, Meinolf and Pfeiffer, G\"otz (2000) Characters of finite Coxeter groups and Iwahori-Hecke algebras. : The Clarendon Press Oxford University Press. [Details]

Book Chapters

Pfeiffer, G\"otz (1997) 'Character values of Iwahori-Hecke algebras of type $B$' In: Finite Reductive Groups, Related Structures and Representations. Boston: Birkh\auser Boston. [Details]

Boltje, Robert and Pfeiffer, G\"otz (2007) 'An algorithm for the unit group of the Burnside ring of a finite group' In: Groups St. Andrews 2005. Vol. 1. Cambridge: Cambridge Univ. Press. [Details]

 

Peer Reviewed Journals

Geck, M., Pfeiffer, G. (1992) 'Unipotent characters of the Chevalley groups D4(q), q odd'. Manuscripta Mathematica, 76 :281-304. [DOI] [Details]

Geck, M., Pfeiffer, G. (1993) 'On the irreducible characters of Hecke algebras'. Advances In Mathematics, 102 :79-94. [DOI] [Details]

Pfeiffer, G. (1994) 'Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula'. Journal Of Algebra, 168 :525-535. [DOI] [Details]

Pfeiffer, G\"otz (1994) 'Character tables of Weyl groups in GAP'. Bayreuther Mathematische Schriften, (47):165-222. [Details]

Geck, M., Hiss, G., Lübeck, F., Malle, G., Pfeiffer, G. (1996) 'CHEVIE - A system for computing and processing generic character tables'. Applicable Algebra In Engineering, Communication And Co, 7 :175-210. [DOI] [Details]

Pfeiffer, G. (1997) 'The subgroups of M24, or How to compute the table of marks of a finite group'. Experimental Mathematics, 6 :247-270. [Details]

Breuer, T., Pfeiffer, G. (1998) 'Finding possible permutation characters'. Journal Of Symbolic Computation, 26 :343-354. [DOI] [Details]

Linton, S.A., Pfeiffer, G., Robertson, E., Ruskuc, N. (1998) 'Groups and Actions in Transformation Semigroups'. Mathematische Zeitschrift, 228 :435-450. [DOI] [Details]

Geck, M., Kim, S., Pfeiffer, G. (2000) 'Minimal length elements in twisted conjugacy classes of finite Coxeter groups'. Journal Of Algebra, 229 :570-600. [DOI] [Details]

Atkinson, M.D., Pfeiffer, G., van Willigenburg, S.J. (2002) 'The p-modular descent algebras'. Algebras And Representation Theory, 5 :101-113. [DOI] [Details]

Linton, S.A.,Pfeiffer, G., Robertson, E., Ruskuc, N. (2002) 'Computing Transformation Semigroups'. Journal Of Symbolic Computation, 33 :145-162. [DOI] [Details]

Pfeiffer, G\"otz and R\"ohrle, Gerhard (2003) 'Distributive coset graphs of finite Coxeter groups'. Journal Of Group Theory, 6 (3):311-320. [DOI] [Details]

Pfeiffer, G\"otz (2004) 'Counting transitive relations'. Journal Of Integer Sequences, 7 (3). [Details]

Pfeiffer, G. (2005) 'Special Involutions and Bulky Parabolic Subgroups in Finite Coxeter Groups'. Journal Of The Australian Mathematical Society, 79 :141-147. [DOI] [Details]

Bonnafe, C,Pfeiffer, G (2008) 'Around Solomon's Descent Algebras'. Algebras And Representation Theory, 11 :577-602. [DOI] [Details]

Pfeiffer, G (2009) 'A quiver presentation for Solomon's descent algebra'. Advances In Mathematics, 220 :1428-1465. [DOI] [Details]

Konvalinka, M,Pfeiffer, G,Rover, CE (2011) 'A note on element centralizers in finite Coxeter groups'. Journal Of Group Theory, 14 :727-745. [DOI] [Details]

                                 

Thesis

Pfeiffer, G. (1995) Charakterwerte von Iwahori-Hecke-Algebren von klassischem Typ. Aachener Beitrage zur Mathematik. Thesis [Details]