Publications

J. Müller:
Book review (pdf, doi) on
M. Howe: An invitation to representation theory, polynomial representations of the symmetric group; Springer Undergraduate Mathematics Series.
Mathematische Semesterberichte, 2024.
J. Müller, S. Sarkar:
A structured description of the genus spectrum of abelian p-groups (pdf, arXiv, doi).
Glasgow J. Math. 61, 2019, 381--423.
J. Fawcett, J. Müller, E. O'Brien, R. Wilson:
Regular orbits of sporadic simple groups (pdf, arXiv, doi).
J. Algebra 522, 2019, 61--79.
Uses software GAP package ORB.
M. Geck, J. Müller:
Invariant bilinear forms on W-graph representations and linear algebra over integral domains (pdf, arXiv, doi).
In: G. Böckle, W. Decker, G. Malle (eds.): Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory.
Springer, 2018, 311--360.
S. Koshitani, J. Müller:
The projective cover of the trivial representation for a finite group of Lie type in defining characteristic (pdf, arXiv, doi),
Algebra Colloq. 24, 2017, 439--452.
J. Müller:
On low-degree representations of the symmetric group (pdf, arXiv, doi).
J. Algebra 465, 2016, 356--398.
R. Bryant, S. Danz, K. Erdmann, J. Müller:
Vertices of Lie modules (pdf, arXiv, doi).
J. Pure Appl. Algebra 219, 2015, 4816--4839.
S. Koshitani, J. Müller, F. Noeske:
Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group Co1 (pdf, arXiv, doi).
J. Pure Appl. Algebra 219, 2015, 142--160.
Data accessible via MODULAR ATLAS.
L. Hille, J. Müller:
On tensor products of path algebras of type A (pdf, arXiv, doi).
Linear Algebra Appl. 448, 2014, 222--244.
S. Koshitani, J. Müller, F. Noeske:
Broué's abelian defect group conjecture for the sporadic simple Janko group J4 revisited (pdf, arXiv, doi).
J. Algebra 398, 2014, 434--447.
S. Koshitani, J. Müller, F. Noeske:
Broué's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group (pdf, arXiv, doi).
J. Algebra 376, 2013, 152--173.
G. Hiss, J. Müller, F. Noeske, J. Thackray:
The Brauer characters of the sporadic simple Harada-Norton group and its automorphism group in characteristics 2 and 3 (pdf, arXiv, doi).
LMS J. Comput. Math 15, 2012, 257--280.
Data accessible via MODULAR ATLAS, uses software GAP package ORB.
S. Danz, J. Müller:
Source algebras of blocks, sources of simple modules, and a conjecture of Feit (pdf, arXiv, doi).
J. Algebra 353, 2012, 187--211.
S. Koshitani, J. Müller, F. Noeske:
Broué's abelian defect group conjecture holds for the sporadic simple Conway group Co3 (pdf, arXiv, doi).
J. Algebra 348, 2011, 354--380.
J. Müller, J. Orlob:
On the structure of the tensor square of the natural module of the symmetric group (pdf, doi).
Algebra Colloq. 18, 2011, 589--610.
S. Danz, J. Müller:
The vertices and sources of the natural simple module for the alternating group in even characteristic (pdf, arXiv, doi).
Comm. Algebra 39, 2011, 3187--3211.
S. Koshitani, J. Müller:
Broué's abelian defect group conjecture holds for the Harada-Norton sporadic simple group HN (pdf, arXiv, doi).
J. Algebra 324, 2010, 394--429.
B. Fairbairn, J. Müller:
Symmetric generation of Coxeter groups (pdf, arXiv, doi).
Arch. Math. 93, 2009, 1--10.
M. Geck, J. Müller:
James' conjecture for Hecke algebras of exceptional type I (pdf, arXiv, doi).
J. Algebra 321, 2009, 3274--3298.
A. Marschner, J. Müller:
On a certain algebra of higher modular forms (pdf, doi).
Algebra Colloq. 16, 2009, 371--380.
J. Müller:
Diskret, leicht zu merken und massenhaft verfügbar: Die RWTH-Kundennummer ist eine einfache aber robuste Identitätsnummer (pdf).
RWTH-Themen 2, 2008, 42--44.
Extended version: Die RWTH-Kundennummer (pdf).
J. Müller:
On the multiplicity-free actions of the sporadic simple groups (pdf, doi).
J. Algebra 320, 2008, 910--926.
Data accessible via GAP package MFER.
J. Müller:
On the action of the sporadic simple Baby Monster group on its conjugacy class 2B (pdf, doi).
LMS J. Comput. Math. 11, 2008, 15--27.
Data accessible via GAP package MFER, uses software GAP package ORB.
J. Müller, M. Schaps:
The Broué conjecture for the faithful 3-blocks of 4.M22 (pdf, doi).
J. Algebra 319, 2008, 3588--3602.
G. Cooperman, J. Müller, E. Robinson:
A disk-based parallel implementation for direct condensation of large permutation modules (pdf, doi).
In: C. Brown (ed.): Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), Waterloo, 2007, 315--322.
Data accessible via MODULAR ATLAS.
J. Müller, R. Zimmermann:
Green vertices and sources of simple modules of the symmetric group labelled by hook partitions (pdf, doi).
Arch. Math. 89, 2007, 97--108.
J. Müller, M. Neunhöffer, R. Wilson:
Enumerating big orbits and an application: B acting on the cosets of Fi23 (pdf, doi).
J. Algebra 314, 2007, 75--96.
Data accessible via GAP package MFER, uses software GAP package ORB.
J. Müller:
On a theorem by Benson and Conway (pdf, doi).
J. Pure Appl. Algebra 208, 2007, 89--100.
C. Bischof, G. Bunsen, J. Müller:
Die RWTH-Kundennummer: eine einfache aber robuste Identitätsnummer (pdf).
DFN-Mitteilungen 72, 2007, 19--21.
Extended version: Die RWTH-Kundennummer (pdf).
B. Eick, J. Müller:
On p-groups forming Brauer pairs (pdf, doi).
J. Algebra 304, 2006, 286--303.
J. Müller, C. Ritzenthaler:
On the ring of invariants of ordinary quartic curves in characteristic 2 (pdf, arXiv, doi).
J. Algebra 303, 2006, 530--542.
J. Müller, M. Neunhöffer:
Some computations regarding Foulkes' conjecture (pdf, doi).
Experiment. Math. 14, 2005, 277--283.
J. Müller:
Brauer trees for the Schur cover of the symmetric group (pdf, doi).
J. Algebra 266, 2003, 427--445.
J. Müller:
On a remarkable partition identity (pdf, doi).
J. Combin. Theory Ser. A 101, 2003, 271--280.
J. Müller:
A note on applications of the VectorEnumerator algorithm (pdf, doi).
Linear Algebra Appl. 365, 2003, 291--300.
J. Müller:
On endomorphism rings and character tables (pdf).
Habilitationsschrift, RWTH Aachen, 2003.
Data accessible via GAP package MFER, relevant software GAP package ORB.
J. Müller, M. Neunhöffer, F. Röhr, R. Wilson:
Completing the Brauer trees for the sporadic simple Lyons group (pdf, doi).
LMS J. Comput. Math. 5, 2002, 18--33.
Data accessible via MODULAR ATLAS.
J. Müller:
The 2-modular decomposition matrices of the symmetric groups S15, S16, and S17 (pdf, doi).
Comm. Algebra 28, 2000, 4997--5005.
Data accessible via MODULAR ATLAS.
A. Henke, G. Hiss, J. Müller:
The 7-modular decomposition matrices of the sporadic O'Nan group (pdf, doi).
J. London Math. Soc. 60, 1999, 58--70.
Data accessible via MODULAR ATLAS.
J. Müller, J. Rosenboom:
Condensation of induced representations and an application: the 2-modular decomposition numbers of Co2 (pdf, doi).
In: Proceedings of the Euroconference on Computational Methods for Representations of Groups and Algebras, Essen, 1997.
Progr. Math. 173, Birkhäuser, 1999, 309--321.
Data accessible via MODULAR ATLAS.
J. Müller:
The 5-modular decomposition matrix of the sporadic simple Conway group Co3 (pdf, doi).
In: O. Gloor (ed.): Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC), Rostock, 1998, 179--185.
Data accessible via MODULAR ATLAS.
V. Latour, J. Müller, W. Nickel:
Stationary subdivision for general scaling matrices (doi).
Math. Z. 227, 1998, 645--661.
G. Cooperman, G. Hiss, K. Lux, J. Müller:
The Brauer tree of the principal 19-block of the sporadic simple Thompson group (pdf, doi).
Experiment. Math. 6, 1997, 293--300.
Data accessible via MODULAR ATLAS.
J. Müller:
Decomposition numbers for generic Iwahori-Hecke algebras of non-crystallographic type (pdf, doi).
J. Algebra 189, 1997, 125--149.
C. Jansen, J. Müller:
The 3-modular decomposition numbers of the sporadic simple Suzuki group (pdf, doi).
Comm. Algebra 25, 1997, 2437--2458.
Data accessible via MODULAR ATLAS.
G. Hiss, K. Lux, J. Müller:
The 2-modular decomposition matrices of the non-principal blocks of maximal defect of the triple cover of the sporadic simple McLaughlin group (pdf, doi).
J. Symb. Comput. 19, 1995, 585--600.
Data accessible via MODULAR ATLAS.
G. Hiss, J. Müller:
The 5-modular characters of the sporadic simple Rudvalis group and its covering group (doi).
Comm. Algebra 23, 1995, 4633--4667.
Data accessible via MODULAR ATLAS.
J. Müller:
Zerlegungszahlen für generische Iwahori-Hecke-Algebren von exzeptionellem Typ (pdf).
Dissertation, RWTH Aachen, 1995.
K. Lux, J. Müller, M. Ringe:
Peakword condensation and submodule lattices: an application of the MeatAxe (pdf, doi).
J. Symb. Comput. 17, 1994, 529--544.
J. Müller:
5-modulare Zerlegungszahlen für die sporadische einfache Gruppe Co3 (pdf).
Diplomarbeit, RWTH Aachen, 1991.
Data accessible via MODULAR ATLAS.