Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory
Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory
复制标题
子因子理论中 Nimrep 图的谱测量和生成级数
DOI：
10.1007/s00220-009-0902-5
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发表时间：
2009
影响因子：
2.4
通讯作者：
Mathew Pugh
中科院分区：
文献类型：
--
作者：
David E. Evans;Mathew Pugh
我们确定了一些nimrep图的子因子理论中产生的谱措施，特别是那些与SU（3）模不变量。我们的方法也给出了另一种方法来推导Banica和Bisch关于ADE图和SU（2）子群的结果，并解释了他们关于仿射ADE图的结果与Kostant多项式之间的联系。我们还研究了希尔伯特生成的一系列相关的预投射代数。
We determine spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with SU(3) modular invariants. Our methods also give an alternative approach to deriving the results of Banica and Bisch for ADE graphs and subgroups of SU(2) and explain the connection between their results for affine ADE graphs and the Kostant polynomials. We also look at the Hilbert generating series of associated pre-projective algebras.