Superposition rules and stochastic Lie–Scheffers systems

Joan-Andreu Lázaro-Camí; Juan-Pablo Ortega

Displaying similar documents to “Superposition rules and stochastic Lie–Scheffers systems”

On the definition of the dual Lie coalgebra of a Lie algebra.

Bertin Diarra (1995)

Publicacions Matemàtiques

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Let L be a Lie algebra over a field K. The dual Lie coalgebra Lº of L has been defined by W. Michaelis to be the sum of all good subspaces V of the dual space L* of L: V is good if m(V) ⊂ V ⊗ V, where m is the multiplication of L. We show that Lº = m(L* ⊗ L*) as in the associative case.

Classification of endomorphisms of some Lie algebroids up to homotopy and the fundamental group of a Lie algebroid

Balcerzak, Bogdan

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Globality in semisimple Lie groups

Karl-Hermann Neeb (1990)

Annales de l'institut Fourier

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In the first section of this paper we give a characterization of those closed convex cones (wedges) $W$ in the Lie algebra $s l (2, R)^{n}$ which are invariant under the maximal compact subgroup of the adjoint group and which are controllable in the associated simply connected Lie group $S l (2, R)^{n^{\sim}}$ , i.e., for which the subsemigroup $S = (exp W)$ generated by the exponential image of $W$ agrees with the whole group $G$ (Theorem 13). In Section 2 we develop some algebraic tools concerning real root decompositions with respect to...

Itô calculus and quantisation of Lie bialgebras

R. L. Hudson (2005)

Annales de l'I.H.P. Probabilités et statistiques

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On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations.

Adrian Constantin (1994)

Publicacions Matemàtiques

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In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral equations.