Infinitesmal deformations and central extensions of the $n$-th Schrödinger algebra
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866918128434282496 |
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| author | Jumaniyozov, Doston Sheraliyeva, Surayyo |
| author_facet | Jumaniyozov, Doston Sheraliyeva, Surayyo |
| contents | In this paper we study the second cohomology space for the $n$-th Schrödinger algebra $\mathfrak{sch}_n$. We prove that the second cohomology space is vanishing for $n \geq 3$ and show that $\dim(H^2(\mathfrak{sch}_2, \mathfrak{sch}_2)) =2.$ Moreover, we investigate the factor algebra of the Schrödinger algebra by its center and determine the second cohomology group of this factor algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinitesmal deformations and central extensions of the $n$-th Schrödinger algebra Jumaniyozov, Doston Sheraliyeva, Surayyo Rings and Algebras In this paper we study the second cohomology space for the $n$-th Schrödinger algebra $\mathfrak{sch}_n$. We prove that the second cohomology space is vanishing for $n \geq 3$ and show that $\dim(H^2(\mathfrak{sch}_2, \mathfrak{sch}_2)) =2.$ Moreover, we investigate the factor algebra of the Schrödinger algebra by its center and determine the second cohomology group of this factor algebra. |
| title | Infinitesmal deformations and central extensions of the $n$-th Schrödinger algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2407.07435 |