sigma07-109. 668KB Jun 04 2011 12:10:09 AM
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Using the constructed algebras we have obtained new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.. Further, more
After reminding that global deformations of the Witt, Virasoro, and affine Kac–Moody algebras allow one to retrieve Lie algebras of Krichever–Novikov type, we contract the latter
Key words: orthogonal polynomials; Askey–Wilson polynomials; q-difference equation; three term recurrence; raising operators; lowering operators; root systems; double affine
With the help of the Cauchy problem solution we construct a nonlinear evolution operator and the corresponding left inverse operator in explicit form for the nonlinear FPKE.. In
The Lie algebroid approach to Lagrangian Mechanics builds on the geometrical structure of the prolongation of a Lie algebroid [15] (where one can develop a geometric
Since unbounded representation operators are not defined on all elements of the Hilbert space, then we cannot define irreducibility as in the finite dimensional case.. A
Lichnerowicz’s algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex
Many exactly solvable models in classical and quantum mechanics admit an alternative description in terms of a corresponding quasi-linear algebra.. There are many open questions
