sigma07-051. 400KB Jun 04 2011 12:10:03 AM
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In higher dimensions, the usual highest weight representations apply for the symmetry algebra of the Laplace–Beltrami operator. In this case there is no longer a single chain
There exists a large class of quantum many-body systems of Calogero–Suther- land type where all particles can have different masses and coupling constants and which nevertheless
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
A GBDT version of the B¨acklund–Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models..
(Let us recall that the quasi-regular representation of SO 0 (1 , 4) on the Hilbert space L 2 ( H + 4 ) decomposes into a direct integral of irreducible unitary representations of
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 noncommutative geometry [ 12 ] there is one specific application of the heat kernel expansion which is related to the spectral action principle [ 8 ].. The Dirac operator squared
We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential opera- tor