sigma10-026. 338KB Jun 04 2011 12:10:37 AM
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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
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
Note that the construction of the σ -expansion, the basis (16), the relations between Abelian functions and the addition formula are all similar to the (4,5)-results and have little
For the rational spectral variety, the BA-module elements and coefficients of commutating differential operators are expressed in terms of elementary functions.. Our initial idea was
In this paper, a construction of invariant of three-dimensional manifolds with triangulated boundary is presented, on the example of the complement of a tubular neighborhood of a
In particular, our examples show that, in contrast to point transformations (S. Lie results), for a linearization problem via the generalized Sundman transformation one needs to use
We present the latest development in the field, in particular the notion of equivalence of such quan- tum field theories on a noncommutative spacetime, in this regard we work
The integration by parts formula underlies the proof of Lemma 7.1 and is explicitly stated in the simpler setting of first order derivatives in Proposition 8.1.. In [ABBP]
