Borel subalgebras of the Witt algebra
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4425-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4425-z | ||
| 245 | 0 | 0 | |a Borel subalgebras of the Witt algebra |h [Elektronische Daten] |c [Yu Yao, Hao Chang] |
| 520 | 3 | |a Let $\mathbb{F}$ be an algebraically closed field of characteristic p > 3, and $\mathfrak{g}$ be the Witt algebra over $\mathbb{F}$ . Let $\mathcal{N}$ be the nilpotent cone of $\mathfrak{g}$ . An explicit description of $\mathcal{N}$ is given, so that the conjugacy classes of Borel subalgebras of $\mathfrak{g}$ under the automorphism group of $\mathfrak{g}$ are determined. In contrast with only one conjugacy class of Borel subalgebras in a classical simple Lie algebra, there are two conjugacy classes of Borel subalgebras in g. The representatives of conjugacy classes of Borel subalgebras, i.e., the so-called standard Borel subalgebras, are precisely given. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Witt algebra |2 nationallicence | |
| 690 | 7 | |a Borel subalgebra |2 nationallicence | |
| 690 | 7 | |a nilpotent element |2 nationallicence | |
| 690 | 7 | |a nilpotent cone |2 nationallicence | |
| 690 | 7 | |a automorphism group |2 nationallicence | |
| 700 | 1 | |a Yao |D Yu |u Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, P. R. China |4 aut | |
| 700 | 1 | |a Chang |D Hao |u Department of Mathematics, East China Normal University, 200241, Shanghai, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1348-1358 |x 1439-8516 |q 31:8<1348 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4425-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4425-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yao |D Yu |u Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chang |D Hao |u Department of Mathematics, East China Normal University, 200241, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1348-1358 |x 1439-8516 |q 31:8<1348 |1 2015 |2 31 |o 10114 | ||