Klaus Lux Publications

Links

External

Books

1. G. Hiss and K. Lux, Brauer Trees of Sporadic Groups, Oxford University Press, 525 pages, 1989.
2. C. Jansen, K. Lux, R. Parker, and R.A. Wilson, An Atlas of Brauer Characters, Oxford University Press, 327 pages, 1995.
3. K. Lux and H. Pahlings, Representations of Groups: A Computational Approach (Cambridge Studies in Advanced Mathematics) , 472 pages, Cambridge University Press, 2010.

[books] [articles] [to appear]

Published articles

1. G. Hiss and K. Lux, On the decomposition matrices of twisted group algebras, Comm. Algebra, 13(10):2219-2229, 1985.
2. G. Hiss and K. Lux, The Brauer characters of the Hall-Janko group, Comm. Algebra, 16:357-398, 1988.
3. G. Hiss, K. Lux, and R. Parker, The 5-modular characters of the McLaughlin group and its covering group, Manuscripta Math., 73:91-114, 1991.
4. K. Lux and H. Pahlings, Computational aspects of representation theory of finite groups. In G.O. Michler and C.M. Ringel, editors, Representation Theory of Finite Groups and Finite-Dimensional Algebras, pages 33-64, Birkhäuser, Basel, 1991.
5. M. Geck and K. Lux, The decomposition numbers of the Hecke algebra of type F₄, Manuscripta Math., 70:285-306, 1991.
6. G. Hiss and K. Lux, The 5-modular characters of the sporadic simple Fischer groups Fi₂₂ and Fi₂₃, Comm. Algebra, 22(9):3536-3590, 1994.
7. K. Lux, J. Müller, and M. Ringe, Peakword condensation and submodule lattices: An application of the Meat-axe, J. Symbolic Comput., 17:529-544, 1994.
8. G. Hiss, K. Lux, and 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, J. Symbolic Comput., 19:585-600, 1995.
9. A.A. Ivanov, S.A. Linton, K. Lux, J. Saxl, and L.H. Soicher, Distance transitive representations of the sporadic groups, Comm. Algebra, 23(9):3379-3427, 1995.
10. S.A. Linton, K. Lux, and L.H. Soicher, The primitive distance-transitive representations of the Fischer groups, Experiment. Math., 4(3):235-253, 1995.
11. T. Breuer and K. Lux, The Multiplicity-free Permutation Characters of the Sporadic Simple Groups and their Automorphism Groups, Comm. Algebra, 24(7):2293-2316, 1996.
12. K. Lux, Algorithmic methods in modular representation theory. Habilitationsschrift, 155 pages, RWTH Aachen 1997. Download the thesis.
13. G. Cooperman, G. Hiss, K. Lux, and J. Müller, The Brauer tree of the principal 19-block of the sporadic simple Thompson group, Experiment. Math. , 6:(4)293-400, 1997.
14. K. Lux and M. Wiegelmann, Condensing Tensor Product Modules, In ``The ATLAS ten years on'', editors R.A. Wilson and R.T. Curtis. Cambridge University Press, 1998.
15. L. Hethelyi, M. Szöke, and K. Lux, The restriction of indecomposbable modules for group algebras and the quasi Green correspondence. Comm. Algebra , 26(1):83-95 1998.
16. K. Lux and H. Pahlings, Computational aspects of representation theory of finite groups II, in Algorithmic Algebra and Number Theory. Matzat,B.H, Greuel, G.-M., Hiss, G., Eds. Springer, Berlin, 1999.
17. G. Ivanyos and K. Lux, Treating the exceptional cases of the Meat-axe. Experiment. Math., 9:373-381, 2000.
18. K. Lux and M. Wiegelmann, An Application of Condensation, The PIM Structures of the Mathieu Group M₂₃. J. Symbolic Comput. ,31:163-178,2001.
19. K.  Lux and M. Szöoke, Computing homomorphism spaces between modules over finite dimensional algebras, Experiment. Math., 12(1):91-98, 2003.
20. K.  Lux and M. Szöoke, Computing decompositions of modules over finite-dimensional algebras, Experiment. Math., 16(1):1-6, 2007.
21. K.  Lux, F.  Noeske, and A.  Ryba, The 5-modular characters of the sporadic simple Harada-Norton group HN and its automorphism group HN.2, J. Algebra , 319(1):320--335, 2008.

[books] [articles] [to appear]

Publications in progress