Geodesic
Cohomological Rigidity of the Schrödinger Algebra S(N) and its Central Extension hat(S(N))
Rutwig Campoamor-Stursberg1
1Instituto de Matemática Interdisciplinar, Fac. CC. Matemáticas, Universidad Complutense, Plaza de Ciencias 3, 28040 Madrid, Spain
Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 315-328

Voir la notice de l'article provenant de la source Heldermann Verlag

It is shown that for any $N\neq 2$, the Schr\"odinger algebra $S(N)$ and its central extension $\widehat{S}(N)$ are cohomologically rigid Lie algebras, i.e., have a vanishing second Chevalley cohomology group with values in the adjoint representation. Further, it is shown that the main cohomological difference between these algebras lies in the structure of the third cohomology space.
Classification : 17B10, 17B56
Mots-clés : Rigidity, Chevalley cohomology, Schroedinger algebra, Lie algebras

Rutwig Campoamor-Stursberg  1

1 Instituto de Matemática Interdisciplinar, Fac. CC. Matemáticas, Universidad Complutense, Plaza de Ciencias 3, 28040 Madrid, Spain 
Rutwig Campoamor-Stursberg. Cohomological Rigidity of the Schrödinger Algebra S(N) and its Central Extension hat(S(N)). Journal of Lie Theory, Tome 27 (2017) no. 2, pp. 315-328. http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a1/
@article{JOLT_2017_27_2_a1,
     author = {Rutwig Campoamor-Stursberg},
     title = {Cohomological {Rigidity} of the {Schr\"odinger} {Algebra} {S(N)} and its {Central} {Extension} {hat(S(N))}},
     journal = {Journal of Lie Theory},
     pages = {315--328},
     year = {2017},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a1/}
}
TY  - JOUR
AU  - Rutwig Campoamor-Stursberg
TI  - Cohomological Rigidity of the Schrödinger Algebra S(N) and its Central Extension hat(S(N))
JO  - Journal of Lie Theory
PY  - 2017
SP  - 315
EP  - 328
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a1/
ID  - JOLT_2017_27_2_a1
ER  - 
%0 Journal Article
%A Rutwig Campoamor-Stursberg
%T Cohomological Rigidity of the Schrödinger Algebra S(N) and its Central Extension hat(S(N))
%J Journal of Lie Theory
%D 2017
%P 315-328
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_2_a1/
%F JOLT_2017_27_2_a1