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![Table 1. Commutation relations for the generators in (4.28). Each element Vij in the Table is representedby Vij = [Vi, Vj].](https://thumb-ap.123doks.com/thumbv2/123dok/1159629.899677/9.612.120.418.337.390/table-commutation-relations-generators-element-vij-table-representedby.webp)
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The second heavenly equation of Plebanski which determines Riemannian metrics with (anti)- self-dual curvature 2-form implying Ricci-flatness admits bi-Hamiltonian structure.
Moreover, the complex projection of quasianti-Hermitian quaternionic dynamics is considered in Section 4, where the subclass of quasianti-Hermitian quaternionic Hamiltonian
More precisely, quon algebras are used for (i) a realization of a generalized Weyl–Heisenberg algebra from which it is possible to associate a fractional supersymmetric
Every differential invariant of a generic surface S ⊂ R 3 under the action of the projective group PSL(4) can be written in terms of a single fourth order invariant and its
[13] Booß-Bavnbek B., Against ill-founded, irresponsible modelling, in Teaching of Mathematical Modelling and Applications, Editors M.. [14] Booß-Bavnbek B., Bleecker D.,
We discuss Toeplitz operators in K¨ ahler geometry, with applications to geometric quantization, and review some recent developments.. Key words: K¨ ahler manifolds; holomorphic
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact
Based on the traditional training that one receives in a quantum mechanics course, one would expect a theory defined by a non-Hermitian Hamiltonian to be unphysical because the
