Restricted one-dimensional central extensions of restricted simple Lie algebras

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• 作者：Tyler J. Evans<sup>asup><sup> ; sup><sup>1sup><sup> ; sup><sup>evans@humboldt.edu" class="auth_mail" title="E-mail the corresponding authorsup> ; Alice Fialowski<sup>bsup><sup> ; sup><sup>fialowsk@cs.elte.hu" class="auth_mail" title="E-mail the corresponding authorsup>
• 关键词：17B56 ; 17B50
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：513
• 期：Complete
• 页码：96-102
• 全文大小：267 K

文摘

We study the restricted one-dimensional central extensions of an arbitrary finite dimensional restricted simple Lie algebra for <span id="mmlsi1" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379516304542&_mathId=si1.gif&_user=111111111&_pii=S0024379516304542&_rdoc=1&_issn=00243795&md5=9925cf9a56de4fdf980689b6b6e5d8a0" title="Click to view the MathML source">p≥5span><span class="mathContainer hidden"><span class="mathCode">scroll">p≥5span>span>span>. For <span id="mmlsi15" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379516304542&_mathId=si15.gif&_user=111111111&_pii=S0024379516304542&_rdoc=1&_issn=00243795&md5=5112e2c0bc785bfaad37777b1554dbac" title="Click to view the MathML source">H<sup>2sup>(g)=0span><span class="mathContainer hidden"><span class="mathCode">scroll">sup>H2sup>stretchy="false">(gstretchy="false">)=0span>span>span>, we explicitly describe the cocycles spanning <span id="mmlsi3" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379516304542&_mathId=si3.gif&_user=111111111&_pii=S0024379516304542&_rdoc=1&_issn=00243795&md5=99d28f3476116a996a693eadf6dbcbb5">class="imgLazyJSB inlineImage" height="18" width="44" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0024379516304542-si3.gif">script>style="vertical-align:bottom" width="44" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0024379516304542-si3.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">subsup>H⁎2subsup>stretchy="false">(gstretchy="false">)span>span>span>, and in the case <span id="mmlsi13" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379516304542&_mathId=si13.gif&_user=111111111&_pii=S0024379516304542&_rdoc=1&_issn=00243795&md5=9b38467f3e5d71dbb0e39bf9dbe4f5a3" title="Click to view the MathML source">H<sup>2sup>(g)≠0span><span class="mathContainer hidden"><span class="mathCode">scroll">sup>H2sup>stretchy="false">(gstretchy="false">)≠0span>span>span>, we give a procedure to describe a basis for <span id="mmlsi3" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0024379516304542&_mathId=si3.gif&_user=111111111&_pii=S0024379516304542&_rdoc=1&_issn=00243795&md5=99d28f3476116a996a693eadf6dbcbb5">class="imgLazyJSB inlineImage" height="18" width="44" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0024379516304542-si3.gif">script>style="vertical-align:bottom" width="44" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0024379516304542-si3.gif">script><span class="mathContainer hidden"><span class="mathCode">scroll">subsup>H⁎2subsup>stretchy="false">(gstretchy="false">)span>span>span>.