| Title:
|
Local superderivations on Lie superalgebra $\mathfrak {q}(n)$ (English) |
| Author:
|
Chen, Haixian |
| Author:
|
Wang, Ying |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
661-675 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathfrak {q}(n)$ be a simple strange Lie superalgebra over the complex field $\mathbb {C}$. In a paper by A. Ayupov, K. Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over $\mathbb {C}$ and showed the difference between the properties of local derivations on semi-simple and nilpotent Lie algebras. We know that Lie superalgebras are a generalization of Lie algebras and the properties of some Lie superalgebras are similar to those of semi-simple Lie algebras, but $\mathfrak {p}(n)$ is an exception. In this paper, we introduce the definition of the local superderivation on $\mathfrak {q}(n)$, give the structures and properties of the local superderivations of $\mathfrak {q}(n)$, and prove that every local superderivation on $\mathfrak {q}(n)$, $n>3$, is a superderivation. (English) |
| Keyword:
|
simple Lie superalgebra |
| Keyword:
|
superderivation |
| Keyword:
|
local superderivation |
| MSC:
|
16W55 |
| MSC:
|
17B20 |
| MSC:
|
17B40 |
| idZBL:
|
Zbl 06986964 |
| idMR:
|
MR3851883 |
| DOI:
|
10.21136/CMJ.2018.0597-16 |
| . |
| Date available:
|
2018-08-09T13:10:50Z |
| Last updated:
|
2020-10-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147360 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
