Geodesic
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 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
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     author = {R. 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/JLT_2017_27_2_JLT_2017_27_2_a1/}
}
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R. 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/JLT_2017_27_2_JLT_2017_27_2_a1/