Professor Gotz Pfeiffer


Contact Details

Personal Professor
------------------------
Room ADB-1008
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics

T: Ext. 3591
E: goetz.pfeiffer@nuigalway.ie
W: http://schmidt.nuigalway.ie/~goetz/
 
researcher

Biography

Research Interests

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

Peer Reviewed Journals

  Year Publication
(2015) 'Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2015) 'Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight'. Journal Of Algebra, 423 :1213-1232 [DOI] [Details]
(2014) 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'
Douglass, JM,Pfeiffer, G,Rohrle, G (2014) 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'. Transactions Of The American Mathematical Society, 366 :5379-5407 [Details]
(2014) 'Cohomology of Coxeter arrangements and Solomon's descent algebra'
Douglass, J. Matthew and Pfeiffer, G\"otz and R\"ohrle, Gerhard (2014) 'Cohomology of Coxeter arrangements and Solomon's descent algebra'. Trans. Amer. Math. Soc, 366 (10):5379-5407 [DOI] [Details]
(2013) 'Integer sequences realized by the subgroup pattern of the symmetric group'
Naughton, L. and Pfeiffer, G. (2013) 'Integer sequences realized by the subgroup pattern of the symmetric group'. J. Integer Seq, 16 (5) [Details]
(2013) 'Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2013) 'Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four'. Journal Of Symbolic Computation, 50 :139-158 [DOI] [Details]
(2013) 'On reflection subgroups of finite Coxeter groups'
Douglass, J. Matthew and Pfeiffer, G\"otz and R\"ohrle, Gerhard (2013) 'On reflection subgroups of finite Coxeter groups'. Comm. Algebra, 41 (7):2574-2592 [DOI] [Details]
(2013) 'On the quiver presentation of the descent algebra of the symmetric group'
Bishop, M,Pfeiffer, G (2013) 'On the quiver presentation of the descent algebra of the symmetric group'. Journal Of Algebra, 383 :212-231 [DOI] [Details]
(2013) 'Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2013) 'Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six'. Journal Of Algebra, 377 :320-332 [DOI] [Details]
(2012) 'Computing the table of marks of a cyclic extension'
Naughton, L; Pfeiffer G (2012) 'Computing the table of marks of a cyclic extension'. Mathematics Of Computation, [DOI] [Details]
(2012) 'An inductive approach to Coxeter arrangements and Solomon's descent algebra'
Douglass, JM,Pfeiffer, G,Rohrle, G (2012) 'An inductive approach to Coxeter arrangements and Solomon's descent algebra'. Journal Of Algebraic Combinatorics, 35 :215-235 [DOI] [Details]
(2011) 'A note on element centralizers in finite Coxeter groups'
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]
(2009) 'A quiver presentation for Solomon's descent algebra'
Pfeiffer, G (2009) 'A quiver presentation for Solomon's descent algebra'. Advances In Mathematics, 220 :1428-1465 [DOI] [Details]
(2008) 'Around Solomon's Descent Algebras'
Bonnafe, C,Pfeiffer, G (2008) 'Around Solomon's Descent Algebras'. Algebras And Representation Theory, 11 :577-602 [DOI] [Details]
(2005) 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'
Pfeiffer, G,Rohrle, G (2005) 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'. Journal Of The Australian Mathematical Society, 79 :141-147 [Details]
(2004) 'Counting transitive relations'
Pfeiffer, G\"otz (2004) 'Counting transitive relations'. Journal Of Integer Sequences, 7 (3) [Details]
(2003) 'Distributive coset graphs of finite Coxeter groups'
Pfeiffer, G,Rohrle, G (2003) 'Distributive coset graphs of finite Coxeter groups'. Journal Of Group Theory, 6 :311-320 [Details]
(2002) 'The $p$-modular descent algebras'
Atkinson, M. D. and Pfeiffer, G. and Van Willigenburg, S. J. (2002) 'The $p$-modular descent algebras'. Algebr. Represent. Theory, 5 (1):101-113 [DOI] [Details]
(2002) 'Computing transformation semigroups'
Linton, SA,Pfeiffer, G,Robertson, EF,Ruskuc, N (2002) 'Computing transformation semigroups'. Journal Of Symbolic Computation, 33 :145-162 [DOI] [Details]
(2002) 'The p-modular descent algebras'
Atkinson, MD,Pfeiffer, G,Van Willigenburg, SJ (2002) 'The p-modular descent algebras'. Algebras And Representation Theory, 5 :101-113 [Details]
(2000) 'Minimal length elements in twisted conjugacy classes of finite Coxeter groups'
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]
(1998) 'Finding possible permutation characters'
Breuer, T,Pfeiffer, G (1998) 'Finding possible permutation characters'. Journal Of Symbolic Computation, 26 :343-354 [Details]
(1998) 'Groups and Actions in Transformation Semigroups'
Linton, S.A., Pfeiffer, G., Robertson, E., Ruskuc, N. (1998) 'Groups and Actions in Transformation Semigroups'. Mathematische Zeitschrift, 228 :435-450 [DOI] [Details]
(1997) 'The subgroups of M24, or How to compute the table of marks of a finite group'
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]
(1997) 'The subgroups of $M_24$'
Pfeiffer, G\"otz (1997) 'The subgroups of $M_24$'. Experiment. Math, 6 (3):247-270 [Details]
(1996) 'CHEVIE - A system for computing and processing generic character tables'
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]
(1994) 'Character tables of Weyl groups in GAP'
Pfeiffer, G\"otz (1994) 'Character tables of Weyl groups in GAP'. Bayreuther Mathematische Schriften, (47):165-222 [Details]
(1994) 'Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula'
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]
(1993) 'On the irreducible characters of Hecke algebras'
Geck, M., Pfeiffer, G. (1993) 'On the irreducible characters of Hecke algebras'. Advances In Mathematics, 102 :79-94 [DOI] [Details]
(1992) 'Unipotent characters of the Chevalley groups $D_4(q)$'
Geck, Meinolf and Pfeiffer, G\"otz (1992) 'Unipotent characters of the Chevalley groups $D_4(q)$'. Manuscripta Math, 76 (3-4):281-304 [DOI] [Details]
(1992) 'Unipotent characters of the Chevalley groups D4(q), q odd'
Geck, M., Pfeiffer, G. (1992) 'Unipotent characters of the Chevalley groups D4(q), q odd'. Manuscripta Mathematica, 76 :281-304 [DOI] [Details]

Books

  Year Publication
(2000) Characters of finite Coxeter groups and Iwahori-Hecke algebras.
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

  Year Publication
(2007) 'An algorithm for the unit group of the Burnside ring of a finite group'
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]
(1997) 'Character values of Iwahori-Hecke algebras of type $B$'
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]

Thesis

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