sigma11-036. 394KB Jun 04 2011 12:10:51 AM
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The exact symmetries associated to the junction representation are then examined, certain obvious and non-trivial representations of quantum algebras are introduced, and turn out
[4] Branson T., Nonlinear phenomena in the spectral theory of geometric linear differential operators, in Quan- tization, Nonlinear Partial Differential Equations, and Operator
Consequently, all torsion-free linear connections are projectively equivalent, and the quest for a natural projectively invariant quantization amounts to the quest for a
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of
The problem has been reduced to study a two-component one-dimensional Zakharov–Yajima–Oikawa system in the case of long wave-short wave resonance, by using the multiple scales
These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.. Key words: Casoratian;
Quadratic quaternion forms, introduced by Seip-Hornix (1965), are special cases of generalized quadratic forms over algebras with involutions. We apply the formalism of
Both algebras are presented by generators and relations, the first has a representation by q -difference operators on the space of symmetric Laurent polynomials in z and the second
