WEBPAGE L. MAGNIN

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Last update
18.06.2009

RESEARCH PUBLICATIONS

o
Two examples about zero torsion linear maps on Lie algebras (preprint)
.ps file , 2009.
2examples: companion archive to the paper
   
o
Some remarks about the second Leibniz cohomology group for Lie algebras (preprint)
.ps file , 2008.
CL: companion archive to the paper
   
o
Left invariant complex structures on U(2) and SU(2) x SU(2) revisited (preprint)
.ps file , 2008.
CSu2: companion archive to the paper
   
o
Adjoint and Trivial cohomology of complex 7-dimensional nilpotent Lie algebras
International Journal of Mathematics and Mathematical Sciences (an Open Access Journal) 2008
.ps file , 2008.
.pdf file through the Int. J. Math. Math. Sci. site, 2008.
CohmArch: companion archive to the paper
   
o
Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by adjoining a derivation to 6-dimensional Lie algebras
To appear in Algebras and Representation Theory
.ps file , 2008.
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    
o 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.
o 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    
o 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.
o Technical report for complex structures on indecomposable 6-dimensional nilpotent real Lie algebras.
.ps file , 382 pages, 2004.
o 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
o 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
o Adjoint Cohomology of Heisenberg Lie Algebras. (French)
Communications in Algebra, 21, 1993, n0 6, 2101-2129, Math.Reviews MR1215560 (94d:17027)
o 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)
o Verification of the Riemann Hypothesis for 7-dimensional Nilpotent Lie Algebras.
Journal of Mathematical Sciences (Calcutta), 2, 1991, n0 2
o Nilpotent Lie Algebras of dimension <= 7 . (French)
Journal of Geometry and Physics, 3, 1986, n0 1, 119-144, Math.Reviews MR0855573 (87k:17012)
o Two Examples of Pathologies for non-locally compact Topological Groups . (French)
Expositiones Mathematicae, 3, 1985, n0 2, 169-174, Math.Reviews MR0816402 (87h:22003)
o 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.
o Analyticity and Lie Generators
Letters in Mathematical Physics,6, 1982, n0 2, 147-152, Math.Reviews MR0651129 (84d:22033)
o 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)
o 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)
o 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)
o (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)
o 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

o Quelques questions d'Algèbre, Géométrie et Probabilités (French)
(vi) + 358 p., Ellipses, Paris, 2002,ISBN 2-7298-1107-9, Math. Reviews MR935221 (2003f:00004)
o Why Teach Mathematics at Mandatory School and what Mathematics to teach ? (French)
Reperes-IREM, 38, 2000, p.30-32
o Exercices d'Analyse Corrigés et Commentés (French)
240 p., Ellipses, Paris, 1988, ISBN 2-7298-8857-8

Centre International de Mathématiques Gaspard Monge
Gaspard Monge International Mathematics Center


Institut mathématique de Bourgogne
Mathematics Institute of Burgundy


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