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Then we relate, the radial part of the d -dimensional conformal mechanics with the Klein model of the Lobachevsky space, which is completely similar to the
In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of
For example the Deligne conjecture: the Hochschild cochain complex CH ∗ ( A ) of an associative algebra A is a homotopy Gerstenhaber algebra (or more precisely, an algebra over
The present work is also based on quantization methods on coadjoint orbits, namely the Berezin quantization [ 7 ] on G/T , however, the method of multiplicity computation,
The original results in this paper are: the proof that all Hamiltonians with quadratic interac- tion terms can be reduced to an algebraic set of relations under Wigner
In order to relate the system to the KP trigonometric solitons introduced in Definition 1 , we need the following lemma which can be extracted from Ruijsenaars [ 16 ], and was
We study the finite and infinite irreducible representations of the quantum quadratic algebras though the construction of models in which the symmetries act on spaces of functions of
Key words: Lie algebra; Ado theorem; integration; Lie group; infinite dimensional matrix; representation.. 2000 Mathematics Subject Classification: 15A09; 15A29; 17A99; 17B66;
