caa a22 4500 605461988 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10114-015-4425-z doi (NATIONALLICENCE)springer-10.1007/s10114-015-4425-z Borel subalgebras of the Witt algebra [Elektronische Daten] [Yu Yao, Hao Chang] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Witt algebra nationallicence Borel subalgebra nationallicence nilpotent element nationallicence nilpotent cone nationallicence automorphism group nationallicence Yao Yu Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, P. R. China aut Chang Hao Department of Mathematics, East China Normal University, 200241, Shanghai, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1348-1358 1439-8516 31:8<1348 2015 31 10114 https://doi.org/10.1007/s10114-015-4425-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4425-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yao Yu Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, P. R. China aut NATIONALLICENCE 700 1- Chang Hao Department of Mathematics, East China Normal University, 200241, Shanghai, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1348-1358 1439-8516 31:8<1348 2015 31 10114