2015/03/06 by Guus Regts, Regts, Guus, Alexander Schrijver +3
Mathematics · #05C25 #20C30 #57M27 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.CO #math.QA #math.RT #msc:05C25 #msc:20C30 #msc:57M27
paper · pdf · doi:10.48550/arxiv.1503.01882
arxiv created 2015/03/06 · arxiv updated 2015/03/09
We characterize the virtual link invariants that can be described as partition function of a real-valued R-matrix, by being weakly reflection positive. Weak reflection positivity is defined in terms of joining virtual link diagrams, which is a specialization of joining virtual link diagram tangles. Basic techniques are the first fundamental theorem of invariant theory, the Hanlon-Wales theorem on the decomposition of Brauer algebras, and the Procesi-Schwarz theorem on inequalities for closed orbits.