Restricted one-dimensional central extensions of restricted simple Lie algebras

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• 作者：Tyler J. Evans^a ; ¹ ; ^{evans@humboldt.edu" class="auth_mail" title="E-mail the corresponding author} ; Alice Fialowski^b ; ^{fialowsk@cs.elte.hu" class="auth_mail" title="E-mail the corresponding author}
• 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 lsi1" class="mathmlsrc">lass="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≥5lass="mathContainer hidden">lass="mathCode">low="scroll">p≥5. For lsi15" class="mathmlsrc">lass="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">H²(g)=0lass="mathContainer hidden">lass="mathCode">low="scroll">H2lse">(glse">)=0, we explicitly describe the cocycles spanning lsi3" class="mathmlsrc">le="View the MathML 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">lass="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">lass="mathContainer hidden">lass="mathCode">low="scroll">H⁎2lse">(glse">), and in the case lsi13" class="mathmlsrc">lass="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">H²(g)≠0lass="mathContainer hidden">lass="mathCode">low="scroll">H2lse">(glse">)≠0, we give a procedure to describe a basis for lsi3" class="mathmlsrc">le="View the MathML 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">lass="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">lass="mathContainer hidden">lass="mathCode">low="scroll">H⁎2lse">(glse">).