@article{CM_1990__75_1_69_0, author = {Bjar, Harald and Laudal, Olav Arnfinn}, title = {Deformation of {Lie} algebras and {Lie} algebras of deformations}, journal = {Compositio Mathematica}, pages = {69--111}, publisher = {Kluwer Academic Publishers}, volume = {75}, number = {1}, year = {1990}, mrnumber = {1059956}, zbl = {0708.14005}, language = {en}, url = {http://www.numdam.org/item/CM_1990__75_1_69_0/} }
TY - JOUR AU - Bjar, Harald AU - Laudal, Olav Arnfinn TI - Deformation of Lie algebras and Lie algebras of deformations JO - Compositio Mathematica PY - 1990 SP - 69 EP - 111 VL - 75 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1990__75_1_69_0/ LA - en ID - CM_1990__75_1_69_0 ER -
Bjar, Harald; Laudal, Olav Arnfinn. Deformation of Lie algebras and Lie algebras of deformations. Compositio Mathematica, Tome 75 (1990) no. 1, pp. 69-111. http://www.numdam.org/item/CM_1990__75_1_69_0/
[B-L] Deformation of Lie algebras and Lie algebras of deformations. Application to the study of hypersurface singularities. Preprint No. 3 1987, University of Oslo.
and ,[C] Effacement dans la cohomologie des algebres de Lie. Séminaire Bourbaki, May 1955. | Numdam | Zbl
,[C-D] Sur les varietés d'algebres de Lie de dimension ≤ 7. J. Algebra 91 (1984) pp. 53-63. | Zbl
and ,[Ca-E] Homological Algebra. Princeton Mathematical Series no. 19. | Zbl
and ,[Ch-E] Cohomology theory of Lie groups and Lie algebras. Trans. Amer. Math. Soc. 63 (1948) pp. 85-124. | MR | Zbl
and ,[E] Solutions d'équations à coeffisients dans un anneau Hensélien. Ann. scient. Ec. Norm. Sup. 4 e série, t. 6 (1973), pp. 553-604. | Numdam | MR | Zbl
,[Fi] Deformations of Lie algebras. Math. USSR Sbornik, vol. 55 (1985), pp. 467-473. | Zbl
,[J] Lie algebras. Tracts in Mathematics No. 10, Interscience Publishers 1962. | MR | Zbl
,[K-N] The variety An of n-dimensional Lie algebra structures. Am. Math. Soc. Transl. (2) Vol. 137 (1987) pp. 21-30. | MR | Zbl
and ,[La 1] Formal moduli of algebraic structures. Lecture Notes in Mathematics, Springer Verlag, No. 754 (1979). | MR | Zbl
,[La-M-Pf] Moduli of plane curve singularities with C*-action. Banach Center Publ., Vol. 20, PWN-Polish Scientific Publishers, Warsaw 1988. | MR | Zbl
, and ,[La-Pf] Local moduli and singularities. Lecture Notes in Mathematics, Springer Verlag, No. 1310 (1988). | MR | Zbl
and ,[Ma-Y] Classification of isolated hypersurface singularities by their moduli algebras. Invent. math. 69 (1982), pp. 243-251. | MR | Zbl
and ,[Mo] On the three-dimensional cohomology group of Lie algebras. J. Math. Soc. of Japan, Vol. 5 (July 1953). | MR | Zbl
,[Mos] Fully reducible subgroups of algebraic groups. Am. J. Math. 78, pp. 200-221 (1956). | MR | Zbl
,[N] An estimate for the number of parameters defining an n-dimensional algebra. Izv. Akad. Nauk. SSSR 51 No. 2 (1987) pp. 306-318, (Math. USSR Izv. 30 No. 2 (1988) pp. 283-294). | MR | Zbl
,[Ra] Effacement et déformation. Ann. Inst. Fourier, Grenoble, 22, 1 (1972), pp. 239-269. | Numdam | MR | Zbl
,[Ri] Deformation of transitive Lie algebras. Ann. of Math. (1966), pp. 339-357. | MR | Zbl
,[San] Kac-Moody Lie algebras and the universal element for the category of nilpotent Lie algebras. Math. Ann. 263, pp. 365-370 (1983). | MR | Zbl
,[V 1] Variétes des algèbres de Lie nilpotentes. Thèse, Université de Paris (1966).
,[V 2] Cohomologie des algèbres de Lie nilpotentes. Bull. Soc. Math. de France, T. 98 (1970), pp. 81-116. | Numdam | MR | Zbl
,[V 3] Réductibilité de la varieté des algèbres de Lie nilpotentes. C.R. Acad. Sc. Paris, t. 263, Ser. A (1966), pp. 4-6. | MR | Zbl
,[Y] Solvable Lie algebras and generalized Cartan Matrices arising from isolated singularities. Math. Zeitschrift 191 (1986), pp. 489-506. | MR | Zbl
,