نتایج جستجو برای: bicomplex numbers

تعداد نتایج: 196747  

Journal: :Physical review 2021

We use covariant phase space methods to study the metric and tetrad formulations of general relativity in a manifold with boundary compare results obtained both approaches. Proving their equivalence has been long-lasting problem that we solve here by using cohomological approach provided relative bicomplex framework. This setting provides clean ambiguity-free way describe solution spaces associ...

2011
Junliang Wu Pingping Zhang

In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant concept, a new inverse concept of quaternion matrix and a new similar matrix concept. Under the new concept system, many quaternion algebra problems can be transformed into complex algebra problems to express ...

2014
Peter J. Olver Robert Bryant Robby Gardner

Bäcklund’s Theorem, which characterizes contact transformations, is generalized to give an analogous characterization of “internal symmetries” of systems of differential equations. For a wide class of systems of differential equations, every internal symmetry comes from a first order generalized symmetry and, conversely, every first order generalized symmetry satisfying certain explicit contact...

2007
G. MARÍ BEFFA JAN A. SANDERS

In this paper we describe an sl2 representation in the space of differential invariants of parametrized curves in homogeneous spaces. The representation is described by three operators, one of them being the total derivative D. We use this representation to find a basis for the space of differential invariants of curves in a complement of the image of D, and so generated by transvection. These ...

1993
Rudolf Schmid

For any Lie algebra g we introduce the notion of g symplectic structures and show that every orbit of a principal G bundle carries a natural g symplectic form and an associated momentum map induced by the Maurer Cartan form on G . We apply this to the BRST bicomplex and show that the associated momentum map is a solution of the Wess-Zumino consistency condition for the anomaly. Research partial...

2000
Masashi Hamanaka Kouichi Toda

We present a powerful method to generate various equations which possess the Lax representations on noncommutative (1+1) and (1+2)-dimensional spaces. The generated equations contain noncommutative integrable equations obtained by using the bicomplex method and by reductions of the noncommutative (anti-)self-dual Yang-Mills equation. This suggests that the noncommutative Lax equations would be ...

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