Torsion pairs in a triangulated category generated by a spherical object

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• 作者：Raquel Coelho Simõ ; es^a ; ^{rcoelhosimoes@campus.ul.pt" class="auth_mail" title="E-mail the corresponding author} ; David Pauksztello^b ; ^{david.pauksztello@manchester.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 05E10 ; 16G20 ; 16G70 ; 18E30 ; secondary ; 05C10
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：448
• 期：Complete
• 页码：1-47
• 全文大小：833 K

文摘

We extend Ng's characterisation of torsion pairs in the 2-Calabi–Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w  -Calabi–Yau triangulated category, class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869315004561&_mathId=si1.gif&_user=111111111&_pii=S0021869315004561&_rdoc=1&_issn=00218693&md5=113777cc32a3342b4b46bd72e16c2f12" title="Click to view the MathML source">T_wclass="mathContainer hidden">class="mathCode">${\mathsf{T}}_w$, generated by a w  -spherical object for any class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869315004561&_mathId=si2.gif&_user=111111111&_pii=S0021869315004561&_rdoc=1&_issn=00218693&md5=eb8faf81ba72d6670f647f573c78a020" title="Click to view the MathML source">w∈Zclass="mathContainer hidden">class="mathCode">$w\in \mathbb{Z}$. Inspired by the combinatorics of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869315004561&_mathId=si1.gif&_user=111111111&_pii=S0021869315004561&_rdoc=1&_issn=00218693&md5=113777cc32a3342b4b46bd72e16c2f12" title="Click to view the MathML source">T_wclass="mathContainer hidden">class="mathCode">${\mathsf{T}}_w$ for class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869315004561&_mathId=si24.gif&_user=111111111&_pii=S0021869315004561&_rdoc=1&_issn=00218693&md5=3db23394ea5ae1afa57276cb8459a14c" title="Click to view the MathML source">w⩽−1class="mathContainer hidden">class="mathCode">$w⩽-1$, we also characterise the torsion pairs in certain negative Calabi–Yau orbit categories of the bounded derived category of the path algebra of Dynkin type A.