Group dualities, T‐dualities, and twisted <mat:math xmlns:mat='http://www.w3.org/1998/Math/MathML' display='inline' altimg='urn:x-wiley:00246107:media:jlms12085:jlms12085-math-0001' xmlns:wiley='http://www.wiley.com/namespaces/wiley/wiley' wiley:location='equation/jlms12085-math-0001.png'> <mat:mi>K</mat:mi> </mat:math> <mat:mi xmlns:mat='http://www.w3.org/1998/Math/MathML'>K</mat:mi>K ‐theory

Mathai Varghese; Rosenberg Jonathan

摘要

Abstract > This paper explores further the connection between Langlands duality and T‐duality for compact simple Lie groups, which appeared in work of Daenzer–van Erp and Bunke–Nikolaus. We show that Langlands duality gives rise to isomorphisms of twisted <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12085:jlms12085-math-0003" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12085-math-0003.png"> <mat:mi>K</mat:mi> </mat:math> ‐groups, but that these <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12085:jlms12085-math-0004" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12085-math-0004.png"> <mat:mi>K</mat:mi> </mat:math> ‐groups are trivial except in the simplest case of <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12085:jlms12085-math-0005" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12085-math-0005.png"> <mat:mrow> <mat:mi>SU</mat:mi> <mat:mo stretchy="false">(</mat:mo> <mat:mn>2</mat:mn> <mat:mo stretchy="false">)</mat:mo> </mat:mrow> </mat:math> and <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:00246107:media:jlms12085:jlms12085-math-0006" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/jlms12085-math-0006.png"> <mat:mrow> <mat:mi>SO</mat:mi> <mat:mo stretchy="false">(</mat:mo> <mat:mn>3</mat:mn> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”> <title type =“main”>抽象</ title> >本文进一步探讨了兰加尔斯二元性与T-Diuality的Compact Simple Lie群体之间的联系，它出现在Daenzer-Van ERP和Bunke-Nikolaus的工作中。我们展示兰兰的二元性引起了扭曲的同构<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley： 00246107：媒体：jlms12085：jlms12085-math-0003“xmlns：wiley.com/namespaces/wiley/wiley”wiley：location =“等式/ jlms12085-math-0003.png”> < mat：mi> k </ mat：mi> </ mat：math> -groups，但这些<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display = “内联”Altimg =“URN：X-Wiley：00246107：媒体：jlms12085：jlms12085-math-0004”xmlns：wiley.com/namespaces/wiley/wiley“wiley：location =”公式/ jlms12085-math-0004.png“> <mat：mi> k </ mat：mi> </ mat：数学> -groups除了<mat：math xmlns：mat =”http的最简单情况之外，除了最简单的情况下//www.w3.org/1998/math/mathml“display =”内联“altimg =”urn：x-wiley：00246107：媒体：jlms12085：jlms12085-math-0005“xmlns：wiley =”http：// www .wiley.com /命名空间/ wiley / wiley“wiley：location =”等式/ jlms12085-math-0005.png“> <mat：mrow> <mat：mi> su </ mat：mi> <mat：mo弹力=“false”>（</ mat：mo> <mat：mn> 2 </ mat：mn> <mat：mo stractry =“false”>）</ mat：mo> </ mat：mrow> </ ma ：数学>和<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley：00246107：媒体：jlms12085：jlms12085 -Math-0006“XMLNS：Wiley =”http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ jlms12085-math-0006.png“> <mat：mrow> <mat： MI> SO </ MAT：MI> <MAT：MO弹力=“FALSE”>（</ MAT：MO> <MAT：Mn> 3 </ MAT：Mn> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-31023/'>《The Journal of the London Mathematical Society》</a> <b style="margin: 0 2px;">|</b><span>2018年第1期</span><b style="margin: 0 2px;">|</b><span>共23页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mathai Varghese&option=202" target="_blank" rel="nofollow">Mathai Varghese;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rosenberg Jonathan&option=202" target="_blank" rel="nofollow">Rosenberg Jonathan;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Pure MathematicsUniversity of AdelaideAdelaide SA 5005 Australia;</p> <p>Department of MathematicsUniversity of MarylandCollege Park MD 20742‐4015 USA;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/156.html" title="数学">数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=19L50 (primary)&option=203" rel="nofollow">19L50 (primary);</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=81T30&option=203" rel="nofollow">81T30;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=57T10 (secondary)&option=203" rel="nofollow">57T10 (secondary);</a> </p> <div class="translation"> 机译：19L50（初级）;81T30;57T10（二次）; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" 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xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:mo>,</mml:mo><mml:mi>ϕ</mml:mi></mml:math> radiative and <mml:math altimg="si4.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>D</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math> semi-leptonic decays</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=G. 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Wang </a> <span>2011</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：σ和<MML：数学altimg = “si1.gif” 溢出= “滚动” 的xmlns：xocs = “http://www.elsevier.com/xml/xocs/dtd” 的xmlns：XS =“HTTP：// WWW。 w3.org/2001/XMLSchema”的xmlns：的xsi = “http://www.w3.org/2001/XMLSchema-instance” 的xmlns = “http://www.elsevier.com/xml/ja/dtd” 的xmlns： JA = “http://www.elsevier.com/xml/ja/dtd” 的xmlns：MML = “http://www.w3.org/1998/Math/MathML” 的xmlns：TB =“HTTP：// WWW .elsevier.com / XML /普通/表/ DTD “的xmlns：SB = ”http://www.elsevier.com/xml/common/struct-bib/dtd“ 的xmlns：CE =” HTTP：//www.elsevier的.com / XML /普通/ DTD “的xmlns：的xlink = ”http://www.w3.org/1999/xlink“ 的xmlns：CALS =” http://www.elsevier.com/xml/common/cals/dtd “> <MML：MSUB> <MML：MI>˚F</ MML：MI> <MML：MN> 0 </ MML：MN> </ MML：MSUB> <MML：MO伸缩性=” 假“>（</ MML：MO> <MML：MN> 980 </ MML：MN> <MML：MO伸缩性= “假”>）</ MML：MO> </ MML：数学>从<MML子结构：数学altimg =“SI2。 GIF”溢出= “滚动” 的xmlns：xocs = “http://www.elsevier.com/xml/xocs/dtd” 的xmlns：XS = “http://www.w3.org/2001/XMLSchema” 的xmlns：的xsi = “http://www.w3.org/2001/XMLSchema-instance” 的xmlns =“HTTP：//www.elsevier。 COM / XML / JA / DTD”的xmlns：JA = “http://www.elsevier.com/xml/ja/dtd” 的xmlns：MML = “http://www.w3.org/1998/Math/MathML”的xmlns：TB = “http://www.elsevier.com/xml/common/table/dtd” 的xmlns：SB = “http://www.elsevier.com/xml/common/struct-bib/dtd” 的xmlns： CE = “http://www.elsevier.com/xml/common/dtd” 的xmlns：的xlink = “http://www.w3.org/1999/xlink” 的xmlns：CALS =“HTTP：//www.elsevier的.com / XML /普通/ CALS / DTD“> <MML：MI>γ</ MML：MI> <MML：MI>γ</ MML：MI> <MML：MO>→</ MML：MO> <MML ：MI>π</ MML：MI> <MML：MI>π</ MML：MI> </ MML：数学>，<MML：数学altimg = “si3.gif” 溢出= “滚动” 的xmlns：xocs =” http://www.elsevier.com/xml/xocs/dtd “的xmlns：XS = ”http://www.w3.org/2001/XMLSchema“ 的xmlns：的xsi =” http://www.w3.org/ 2001 / XMLSchema的实例”的xmlns = “http://www.elsevier.com/xml/ja/dtd” 的xmlns：JA = “http://www.elsevier.com/xml/ja/dtd” 的xmlns：MML = “http://www.w3.org/1998/Math/MathML” 的xmlns：TB = “http://www.elsevier.com/xml/common/table/dtd” 的xmlns：SB =“HTTP：// WWW .elsevier.com / XML /普通/结构-围兜/ DTD “的xmlns：CE = ”http://www.elsevier.com/xml/common/dtd“ 的xmlns：的xlink =” HTTP：//www.w 3.org/1999/xlink”的xmlns：CALS = “http://www.elsevier.com/xml/common/cals/dtd”> <MML：MI>Ĵ</ MML：MI> <MML：MO =伸缩性“假”> / </ MML：MO> <MML：MI>ψ</ MML：MI> <MML：MO>，</ MML：MO> <MML：MI>φ</ MML：MI> </ MML ：数学>辐射和<MML：数学altimg = “si4.gif” 溢出= “滚动” 的xmlns：xocs = “http://www.elsevier.com/xml/xocs/dtd” 的xmlns：XS =“HTTP：/ /www.w3.org/2001/XMLSchema “的xmlns：的xsi = ”http://www.w3.org/2001/XMLSchema-instance“ 的xmlns =” http://www.elsevier.com/xml/ja/dtd “的xmlns：JA =” http://www.elsevier.com/xml/ja/dtd “的xmlns：MML = ”http://www.w3.org/1998/Math/MathML“ 的xmlns：TB =” HTTP： //www.elsevier.com/xml/common/table/dtd “的xmlns：SB = ”http://www.elsevier.com/xml/common/struct-bib/dtd“ 的xmlns：CE =” HTTP：// www.elsevier.com/xml/common/dtd “的xmlns：的xlink = ”http://www.w3.org/1999/xlink“ 的xmlns：CALS =” http://www.elsevier.com/xml/common/ CALS / DTD“> <MML：MSUB> <MML：MI> d </ MML：MI> <MML：MI>取值</ MML：MI> </ MML：MSUB> </ MML：数学>半轻子衰变</span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704024866788','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="关闭" onclick="$('.journalsub-pop-up').hide()"> <p 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Group dualities, T‐dualities, and twisted K KK ‐theory

摘要