2007/10/13 by Petter Andreas Bergh, Bergh, Petter Andreas, Steffen Oppermann +1
Mathematics · #16G60 #16U80 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16G60 #msc:16U80 #msc:81R50
paper · pdf · doi:10.48550/arxiv.0710.2606
11 pages
arxiv created 2007/10/13 · arxiv updated 2009/12/01
We study the representation dimension of the class of algebras known as quantum complete intersections. For such an algebra, we show that the representation dimension is at most twice its codimension. Moreover, we show that the representation dimension of a "homogeneous" quantum complete intersection is strictly larger than its codimension.