Papers and Preprints
- Linkssymmetrische Algebren und linkssymmetrische
Strukturen auf Lie-Algebren,
Bonner Mathematische Schriften 244, 1-65 (1993).
- Left-symmetric structures on simple
modular Lie algebras,
Journal of Algebra 169, Issue 1, 112-138 (1994).
- Modules for certain Lie algebras of maximal class,
with F. Grunewald.
Journal of Pure and Applied Algebra 99, Issue 3, 239-254 (1995).
- Left-invariant affine structures on
reductive Lie groups,
Journal of Algebra 181, Issue 3, 884-902 (1996).
- Affine structures on nilmanifolds,
International Journal of Mathematics 7, Issue 5, 599-616 (1996).
- Etale affine representations of Lie groups,
Geometry and Representation Theory of Real and p-adic Groups,
Progress in Mathematics 158, 35-44 (1998).
- A refinement of Ado's theorem,
Archiv der Mathematik 70, Issue 2, 118-127 (1998).
- Simple left-symmetric algebras with
solvable Lie algebra,
Manuscripta Mathematica 95, Issue 3, 397-411 (1998).
- Degenerations of nilpotent Lie algebras,
Journal of Lie Theory 9, Issue 1, 193-202 (1999).
- Classification of orbit closures of 4--dimensional
complex Lie algebras, with C. Steinhoff.
Journal of Algebra 214, Issue 2, 729-739 (1999).
- Left-invariant affine structures on nilpotent Lie groups,
Habilitation, Düsseldorf, 1-83 (1999).
- Estimates on binomial sums of partition functions,
Manuscripta mathematica 103, Issue 4, 435-446 (2000).
- Affine cohomology classes for filiform Lie algebras,
Contemporary Mathematics 262, 159-170 (2000).
- Lie algebra prederivations and strongly nilpotent
Lie algebras,
Communications in Algebra 30, Issue 7, 3157-3175 (2002).
- Sur les dégénérations d'algèbres de Lie,
Report, 1-10 (2003).
- Cohomology of groups with
applications to number theory,
1-71, Lecture Notes 2004.
-
Lie-Algebra Kohomologie,
1-47, Lecture Notes 2005.
- Degenerations of 7-dimensional nilpotent
Lie algebras,
Communications in Algebra 33, Issue 4, 1259-1277 (2005).
- The Auslander conjecture for NIL-affine
crystallographic groups, with K. Dekimpe and S. Deschamps,
Mathematische Annalen 332, Issue 1, 161-176 (2005).
- On the matrix equation XA-AX=X^p,
Linear Algebra and its Applications 404, 147-165 (2005).
- Characteristically nilpotent Lie algebras
and symplectic structures,
Forum Mathematicum 18, Issue 5, 769-787 (2006).
- Novikov structures on solvable Lie algebras,
with K. Dekimpe,
Journal of Geometry and Physics 56, Issue 9, 1837-1855 (2006).
- A remark on an inequality for the prime
counting function,
Mathematical Inequalities & Applications 10, Issue 1, 9-13 (2007).
- Left-symmetric algebras, or pre-Lie algebras
in geometry and physics,
Central European Journal of Mathematics 4, Issue 3, 323-357 (2006).
- Classical r-matrices and Novikov algebras,
Geometriae Dedicata 122, Issue 1, 145-157 (2006).
- Degenerations and contractions of Lie algebras and
algebraic groups,
Oberwolfach Reports 3, Issue 1, 119-186 (2006).
-
Analytische Zahlentheorie,
1-109, Lecture Notes 2006.
-
Lie Algebren und Darstellungstheorie,
1-88, Lecture Notes 2006.
- Minimal faithful representations of reductive
Lie algebras, with W. Moens,
Archiv der Mathematik 89, Issue 6, 513-523 (2007).
-
Cryptography,
1-75, Lecture Notes 2007.
- Contractions of Lie algebras and
algebraic groups,
Archivum Mathematicum 43, Issue 5, 321-332 (2007).
- Novikov algebras and Novikov structures on
Lie algebras, with K. Dekimpe and K. Vercammen,
Linear Algebra and its Applications 429, Issue 1, 31-41 (2008).
- Affine actions on nilpotent Lie groups,
with K. Dekimpe and S. Deschamps,
Forum Mathematicum 21, Issue 5, 921-934 (2009).
- LR-algebras,
with K. Dekimpe and S. Deschamps,
New Developments in Lie Theory and Geometry, Amer. Math. Soc., Providence, RI,
Contemporary Mathematics 491, 125-140 (2009).
- Computing faithful representations for nilpotent
Lie algebras, with B. Eick and W. A. de Graaf,
Journal of Algebra, Vol. 322,
Issue 3, 602-612 (2009).
- Degenerations of pre-Lie algebras,
with T. Benes,
Journal of Mathematical Physics 50, Issue 11, 112102, 9 pp. (2009).
-
Commutative Algebra,
1-87, Lecture Notes 2009.
- Complete LR-structures on solvable Lie algebras,
with K. Dekimpe and K. Vercammen,
Journal of Group Theory 13, Issue 5, 703-719 (2010).
- Abelian ideals of maximal dimension for solvable
Lie algebras,
with M. Ceballos,
Journal of Lie Theory 22, Issue 3, 741-756 (2012).
- Faithful Lie algebra modules and quotients of the universal
enveloping algebra, with W. Moens,
Journal of Algebra, Vol. 325, Issue 1, 440-460 (2011).
- Affine actions on Lie groups and post-Lie algebra structures,
with K. Dekimpe and K. Vercammen,
Linear Algebra and its Applications 437, Issue 5, 1250-1263 (2012).
- Classification of Novikov algebras,
with W. A. de Graaf,
Applicable Algebra in Engineering, Communication and Computing, Vol. 24,
Issue 1, 1-15 (2013).
- Algebra im Überblick,
1-87, Lecture Notes 2011.
- Post-Lie algebra structures and generalized derivations
of semisimple Lie algebras,
with K. Dekimpe,
Moscow Mathematical Journal, Vol. 13, Issue 1, 1-18 (2013).
- Periodic derivations and prederivations of Lie algebras,
with W. Moens,
Journal of Algebra, Vol. 357, 208-221 (2012).
- Classification of orbit closures in the variety of
3-dimensional Novikov algebras,
with T. Benes,
To appear in Journal of Algebra and Its Applications (2013).
-
Algebraische Zahlentheorie,
1-113, Lecture Notes 2013.
-
Derived length and nildecomposable Lie algebras,
Proceedings of the 13th International Symphosium of Mathematics and its Applications 2012,
Scientific Buletin of the "Politehnica" University of Timisoara, 15-24 (2013).
ISSN 1224-6069.