Journal of Lie Theory

no. 2
Cohomological Rigidity of the Schrödinger Algebra S(N) and its Central Extension hat(S(N))
Journal of Lie Theory, Volume 27 (2017) no. 2, pp. 315-328
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.
DOI: 10.5802/jolt.948
Classification: 17B10, 17B56
Keywords: Rigidity, Chevalley cohomology, Schroedinger algebra, Lie algebras 
@article{JOLT_2017_27_2_a1,
     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},
     doi = {10.5802/jolt.948},
     zbl = {1412.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.948/}
}
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%J Journal of Lie Theory
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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, Volume 27 (2017) no. 2, pp. 315-328. doi: 10.5802/jolt.948

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