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In the next two sections we carry out the above procedure to find exact solutions of the noncommutative theory for the case of the flat expanding universe and the Schwarzschild
Hangan proved that the Heisenberg group endowed with a left-invariant Riemannian metric does not admit any codi- mension 1 completely integrable totally geodesic distribution (see [ 5
MO would like to thank the organizers of the conference “Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems” held during March 30 – April 3, 2009 at Glasgow for a
Finally, using the representation theory of SU ( N ) group, we express the ordering of the lowest energy levels of different multiplets in terms of the dominance order of
Section 3 contains the construction of the non-commutative punctured disk and the first type of noncommutative analogs of the operator from the previous section.. The operators here
Key words: division algebra; Clifford algebra; Grassmann algebra; Hopf map; non-Abelian monopole; Landau model; fuzzy geometry.. 2010 Mathematics Subject Classification: 17B70;
Using the harmonic oscillator Hamil- tonian as the initial one, we obtain the expressions of the potentials of isospectral Hamiltonians and wave functions for the case of exact
Molev gives a combinatorial formula for the Sklyanin determinant of twisted Yangians in terms of matrix elements of the matrix of generators of the twisted Yangians (see also [ 1
