sigma10-092. 262KB Jun 04 2011 12:10:45 AM
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Since for a differential equation with an involutive symbol the obstructions to involution va- nish and for an involutive differential equation the integrability conditions vanish,
In particular, our examples show that, in contrast to point transformations (S. Lie results), for a linearization problem via the generalized Sundman transformation one needs to use
We formulate these systems by cluster algebras, which turn out to be of finite type, and prove their periodicities and the associated dilogarithm identities which have been
We describe different versions of quantum Minkowski spacetime algebra; twisted equipped with h -adic topology and covariant with respect to quantized general linear group (Section 3
Key words: quiver variety; quiver variety with multiplicities; non-symmetric Kac–Moody algebra; Painlev´e equation; meromorphic connection; reflection functor; middle convolution..
Under such settings, moreover, it is obvious that one should choose a value of E (consequently ζ 2 and ζ 1 would be determined for specific values of the ordering ambiguity
[3] Cooper R.D., Hoare M.R., Rahman M., Stochastic processes and special functions: on the probabilistic origin of some positive kernels associated with classical
Representing such super Schur polynomial as a summation over spin path configurations, we establish the key relations ( 3.10 ) and ( 3.19 ), which show that the partition functions
