<textbox>A₂textbox>-planar algebras II: Planar modules

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• 作者：David E. Evans^a ; Mathew Pugh ; ^a ; ^{pughmj@cardiff.ac.uk"" rel=""nofollow}
• 关键词：Subfactors ; Planar algebras ; Hilbert planar modules ; style=""text-decoration ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WJJ-533YK23-1&_mathId=mml14&_pii=S0022123611002163&_issn=00221236&_acct=C000053065&_ve
• 刊名：Journal of Functional Analysis
• 出版年：2011
• 出版时间：1 October 2011
• 年：2011
• 卷：261
• 期：7
• 页码：1923-1954
• 全文大小：540 K

文摘

Generalizing Joness notion of a planar algebra, we have previously introduced an A₂-planar algebra capturing the structure contained in the double complex pertaining to the subfactor for a finite SU(3) graph with a flat cell system. We now introduce the notion of modules over an A₂-planar algebra, and describe certain irreducible Hilbert A₂-TL-modules. We construct an A₂-graph planar algebra associated to each pair given by an SU(3) graph and a cell system W on . A partial modular decomposition of these A₂-graph planar algebras is achieved.