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arXiv:1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik–Solomon algebra of W can be decomposed into a sum of
So far as the large time behaviour of solutions is concerned, we have noticed a few papers (e.g. [5, 9, 10, 14]) including some results about the ω-limit set of each single solution
In [9] a free energy encoding marked length spectra of closed geodesics was introduced, thus our objective is to analyze facts of the free energy of herein comparing with the
Remarkably, one ends up with a (not necessarily periodic) 1D potential of the form v(x) = W (x) 2 + W 0 (x) in several different fields of Physics, as in supersymmetric
In this section we prove the lemmas used to obtain Theorem A and The Main Theorem in section 4.. Since all of the results of this section are stated for W(,z)
It is worth noting that the above proof shows also that the only non-simple Seifert bred manifolds with non-unique Seifert bration are those with trivial W{decomposition mentioned
In other more general cases we have used the asymptotic iteration method to find accurate numerical solutions for arbitrary values of the potential parameters g, w, and
As for classifying W -algebras one uses cohomology with values in a sheaf of groups, so to classify W -algebroids we need a cohomology theory with values in a stack with