The fusion algebra of an extraspecial p-group

2009 ◽  
Vol 50 (8) ◽  
pp. 082301 ◽  
Author(s):  
Ali Nabi Duman
Keyword(s):  

1988 ◽  
Vol 5 (2) ◽  
pp. 87-97 ◽  
Author(s):  
Robbert Dijkgraaf ◽  
Erik Verlinde


2007 ◽  
Vol 16 (1-2) ◽  
pp. 123-140 ◽  
Author(s):  
Jürgen Fuchs ◽  
Ingo Runkel ◽  
Christoph Schweigert




2016 ◽  
Vol 118 (1) ◽  
pp. 119 ◽  
Author(s):  
Paramita Das ◽  
Shamindra Kumar Ghosh ◽  
Ved Prakash Gupta

Given a finite index subfactor, we show that the affine morphisms at zero level in the affine category over the planar algebra associated to the subfactor is isomorphic to the fusion algebra of the subfactor as a $*$-algebra. This identification paves the way to analyze the structure of affine $P$-modules with weight zero for any subfactor planar algebra $P$ (possibly having infinite depth). Further, for irreducible depth two subfactor planar algebras, we establish an additive equivalence between the category of affine $P$-modules and the center of the category of $N$-$N$-bimodules generated by $L^2(M)$; this partially verifies a conjecture of Jones and Walker.





2007 ◽  
Vol 2007 (09) ◽  
pp. P09002-P09002 ◽  
Author(s):  
Jørgen Rasmussen ◽  
Paul A Pearce


2008 ◽  
Vol 41 (29) ◽  
pp. 295208 ◽  
Author(s):  
Jørgen Rasmussen ◽  
Paul A Pearce


1997 ◽  
Vol 30 (14) ◽  
pp. 5123-5131
Author(s):  
A Lima-Santos
Keyword(s):  


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