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Key words: division algebra; Clifford algebra; Grassmann algebra; Hopf map; non-Abelian monopole; Landau model; fuzzy geometry.. 2010 Mathematics Subject Classification: 17B70;
[4] Branson T., Nonlinear phenomena in the spectral theory of geometric linear differential operators, in Quan- tization, Nonlinear Partial Differential Equations, and Operator
Euclidean Jordan algebra, Pseudomonotone, Positive subdefinite (PSBD), Copos- itive, Copositive star, Automorphism, Z-property.. AMS
Using this global condensed form a stepwise index reduction procedure incorporating differ- entiations of equations and eliminations of certain coupling parts in the
We make use of a general method for solving linear differential equations of arbitrary order to construct new representations for the solutions of the known second order
In Section 9 we review them and we present Conjecture which claims that the potential functions given in this note exhaust those of the completely integrable systems satisfying (
In particular, it has been shown that their integrals of motion generate a quadratic Poisson algebra (in the classical case) or a quadratic associative algebra (in the quantum one)
(A recent paper [ 14 ], and references therein, detail relations between projective algebra (point symmetries of a particular class of second order ODEs) and algebra of
