WEBPAGE LOUIS MAGNIN
Dernière mise à jour le
Last update
April 5 , 2013
LOUIS MAGNIN
Position: MCF HC
Qualified for Professeur des Universités
section 25 (Mathematics) of the CNU (Conseil National des Universités)
qualification number: 09125180568
Institution:
Institut de Mathématiques de Bourgogne
UMR CNRS 5584, Université de Bourgogne, BP 47870, 21078 DIJON CEDEX , France.
RESEARCH PUBLICATIONS
About Leibniz cohomology and deformations of Lie algebras
(with A. Fialowski and A. Mandal)
Journal of Algebra ,
vol. 383, 2013, p. 63-77.
(preprint on the ArXiv, 2011)
On I-null Lie algebras
Revista de la Union Matematica Argentina
(an Open Access Journal),
vol. 53, No 2, 2012, p. 37-58.
CL: companion archive to the paper
About zero torsion linear maps on Lie algebras
ISRN Algebra (Hindawi) (an Open Access Journal) volume 2011, Article ID 930189, 16 pages
Left invariant complex structures on U(2) and SU(2) x SU(2) revisited
Revue Roumaine de Mathématiques Pures et Appliquées, vol. 55, No 4, p. 269-296, 2010.
See also the typographical errata:
Errata to the paper
Left invariant complex structures on U(2) and SU(2) x SU(2) revisited
Revue Roumaine de Mathématiques Pures et Appliquées, vol. 56, No 1, p. 83-84, 2011.
.ps file , 2008.
CSu2: companion archive to the paper
Adjoint and Trivial cohomology of complex 7-dimensional nilpotent Lie algebras
International Journal of Mathematics and Mathematical Sciences (an Open Access Journal) 2008
CohmArch: companion archive to the paper
Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by
adjoining a derivation to 6-dimensional Lie algebras
Algebras and Representation Theory , vol.13, Number 6, p. 723-753, 2010
.ps file , 2008.
companion paper:
Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by
adjoining a derivation to 6-dimensional Lie algebras: all 30 cases detailed
(preprint)
.ps file , 2007.
7nilp_classif_sdp: companion archive to the papers
Complex structures on indecomposable 6-dimensional nilpotent real Lie algebras.
Proceedings International Congress of Mathematicians, Madrid 2006, Math. Software
Abstracts, p. 613-614, European Math. Society 2006.
Complex structures on indecomposable 6-dimensional nilpotent real Lie algebras.
International Journal of Algebra and Computation , vol. 17, Nr 1, p. 77-113, 2007.
.ps file , 2005.
CS : companion archive to the paper
Left invariant complex structures on nilpotent simply connected indecomposable 6-dimensional real Lie groups.
International Journal of Algebra and Computation , vol. 17, Nr 1, p. 115-139, 2007.
.ps file , 2005.
Technical report for complex structures on indecomposable 6-dimensional nilpotent real Lie algebras.
.ps file , 382 pages, 2004.
Cohomology of Lie groups and Algebras; the Riemann Hypothesis for the Trivial Cohomology of Nilpotent Lie Algebras.
(French)
Proc. Summer School 'Mathematical Research and Education',
IREM, Dijon, 1996, p.37-79, Math.Reviews MR1655503 (2001h:17028)
dvi ps tex
Adjoint and Trivial Cohomology Tables for Indecomposable Nilpotent Lie
Algebras of Dimension <=7 over C.
Online e-book, 2d Corrected Edition 2007, (ps file) on the Internet, 810+vi pages.
Abstract of the e-book : dvi ps
tex
Adjoint Cohomology of Heisenberg Lie Algebras.
(French)
Communications in Algebra, 21, 1993, n0 6, 2101-2129, Math.Reviews MR1215560 (94d:17027)
Remarks on Weight Systems on Cohomology of Nilpotent Lie Algebras.
Algebras, Groups and Geometry, 9, 1992, n0 2, 111-135, Math.Reviews MR
(94a:17015)
Verification of the Riemann Hypothesis for 7-dimensional Nilpotent Lie Algebras.
Journal of Mathematical Sciences (Calcutta), 2, 1991, n0 2
Nilpotent Lie Algebras of dimension <= 7 . (French)
Journal of Geometry and Physics, 3, 1986, n0 1, 119-144, Math.Reviews MR0855573 (87k:17012)
Two Examples of Pathologies for non-locally compact Topological Groups . (French)
Expositiones Mathematicae, 3, 1985, n0 2, 169-174, Math.Reviews MR0816402 (87h:22003)
Remarks about C-infinite vectors in Representations of connected locally compact Groups
(Proceedings) Monographs and Studies in Mathematics # 17 Vol. 2, p.62-64,
Pitman 1984.
Analyticity and Lie Generators
Letters in Mathematical Physics,6, 1982, n0 2, 147-152, Math.Reviews MR0651129 (84d:22033)
Some Remarks about C-infinite vectors in Representations of connected locally compact Groups
Pacific Journal of Mathematics,95, 1981, n0 2, 391-400, Math.Reviews MR0632193 (84f:22008)
Analytic Vectors in Unitary Representations of connected locally compact Groups. (French)
Comptes Rendus Acad. Sci. Paris Série A-B,289, 1979, n0 15, A715-A718, Math.Reviews MR0558779 (81j:22006)
On a Frechet Space of Analytic Fuctions which densely contains the Nevanlinna Class and
whose Topology makes continuous some natural Representation of SL(2,R). (French)
Comptes Rendus Acad. Sci. Paris Série A-B,286, 1978, n0 21, A987-A989, Math.Reviews MR0498986 (58#16970)
(with Simon, J.) Lie Algebras Associated with Topological Nilpotent Groups
Reports on Mathematical Physics,8, 1975, n0 2, 171-180,
Math.Reviews MR0422523 (54#10510)
On some Representations of Mautner's Group. (French)
Comptes Rendus Acad. Sci. Paris Série A-B, 1975, n0 5-8, A191-A193, Math.Reviews MR0385000 (52#5870)
EDUCATIONAL PUBLICATIONS
Quelques questions d'Algèbre, Géométrie et Probabilités
(French)
(vi) + 358 p., Ellipses, Paris, 2002,ISBN 2-7298-1107-9, Math. Reviews MR935221
(2003f:00004)
Why Teach Mathematics at Mandatory School and what Mathematics to teach ?
(French)
Reperes-IREM, 38, 2000, p.30-32
Exercices d'Analyse Corrigés et Commentés
(French)
240 p., Ellipses, Paris, 1988, ISBN 2-7298-8857-8
Institut mathématique de Bourgogne
Mathematics Institute of Burgundy
Page d'accueil de l'Université de Bourgogne