sigma08-024. 350KB Jun 04 2011 12:10:14 AM
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Then the formal inversion of generating series allows to obtain another form of hierarchical relations and to investigate further (see [ 8 ]) special properties of UBV when
Key words: extended quantum symmetries; groupoids and algebroids; quantum algebraic topology (QAT); algebraic topology of quantum systems; symmetry breaking, paracrystals,
Several simplest solutions of these unitarity equations have been found: three 2-parametric subgroups G1, G2, G3 – each of subgroups consists of two commuting Abelian unitary
In particular, the locality of special symmetries of the duality-symmetric linearized gravity constraints the index structure of the dual to graviton field in the same manner as it
Key words: quantum hall effect; non-anti-commutative geometry; supersymmetry; Hopf map; Landau problem; Chern–Simons theory; charge-flux duality.. 2000 Mathematics
At this stage it is worth recalling that various schemes, with the Coset Space Dimensional Reduction (CSDR) [ 14 , 15 , 16 , 17 ] being pioneer, were suggesting that a unification
Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function W = W (ρ, ρ), is presented1. The given ˙
New reductions for the multicomponent modified Korteweg–de Vries (MMKdV) equations on the symmetric spaces of DIII-type are derived using the approach based on the reduction