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Commuting variety of Witt algebra |
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| Authors: | Yu-Feng Yao Hao Chang | |
| Institution: | 1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China2. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China | |
| Abstract: | Let \(\mathfrak{g} = W_1 \) be the Witt algebra over an algebraically closed field k of characteristic p > 3; and let Open image in new window![/></a> be the commuting variety of g. In contrast with the case of classical Lie algebras of P. Levy J. Algebra, 2002, 250: 473–484], we show that the variety <a href=](https://static-content.springer.com/image/art%3A10.1007%2Fs11464-018-0725-9/MediaObjects/11464_2018_725_Fig1_HTML.gif) Open image in new windowOpen image in new windowOpen image in new window | |
| Keywords: | Witt algebra irreducible component dimension commuting variety | |
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