共 50 条
Derivations of the even part of the odd hamiltonian superalgebra in modular case
被引:0
|作者:
Wen De Liu
Xiu Ying Hua
Yu Cai Su
机构:
[1] Harbin Normal University,School of Mathematical Sciences
[2] Harbin University of Science and Technology,Department of Applied Mathematics
[3] University of Science and Technology of China,Department of Mathematics
来源:
关键词:
canonical torus;
derivation space;
first cohomology group;
17B50;
17B40;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra HO over a field of prime characteristic. We first give the generating set of the even part \documentclass[12pt]{minimal}
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\begin{document}$$
\mathfrak{g}
$$\end{document} of HO. Then we compute the derivations from \documentclass[12pt]{minimal}
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\mathfrak{g}
$$\end{document} into the even part \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$
\mathfrak{M}
$$\end{document} of the generalized Witt superalgebra. Finally, we determine the derivation algebra and outer derivation algebra of g and the dimension formulas. In particular, the first cohomology groups H1(\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$
\mathfrak{g}
$$\end{document}
; \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$
\mathfrak{M}
$$\end{document}) and H1(\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$
\mathfrak{g}
$$\end{document}
; \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$
\mathfrak{g}
$$\end{document}
) are determined.
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页码:355 / 378
页数:23
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