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The supertableaux of the orthosymplectic groups OSP(2ν‖2 p ) and OSP(2ν+1‖2 p ) are decomposed in sums of supertableaux of the superunitary group SU(ν‖ p ).
This is the first paper in a series of two dedicated to a new algebraic determination of the multiplicity‐free reduced Wigner coefficients for the Lie groups U( n ) and O( n ). The approach employed enables a direct (nonrecursive) derivation of reduced Wigner coefficients. The absolute value...
The condition on the polynomial P for a Hirota equation P τ ⋅ τ=0 to have an N ‐soliton solution for arbitrary N is examined and simplified.
The construction of four infinite hierarchies of t ‐independent and t ‐dependent conserved functionals for the Federbush model is given. A formal proof of the existence of these infinite hierarchies is given in Appendix B.
An explicit construction of spinor structures on real, complex, and quaternionic projective spaces is given for all cases when they exist. The construction is based on a theorem describing the bundle of orthonormal frames of a homogeneous Riemannian manifold. This research is motivated by a...
For a class of Hamiltonian systems there exist infinite series of non‐Hamiltonian symmetries. Some properties of these series are illustrated using a Boussinesq equation. It is shown that the recursion operators generated by these non‐Hamiltonian symmetries are powers of the original...
The Rayleigh–Schrödinger perturbation treatment accompanied by a multipole expansion of the interaction potential can be used in the quantum‐mechanical studies of long‐range intermolecular forces. The total third‐order interaction energy in a system of N molecules separates into several...
The collision of two plane gravitational and hydrodynamic waves with parallel polarizations is studied. In the interaction region, to the future of the collision, the space‐time admits two hypersurface orthogonal Killing fields, and the problem reduces to solving two (decoupled!) linear partial...
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