The automorphism groups and derivation algebras of two-dimensional algebras

The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.Comment: A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 4, and its consequences are are correcte

Complete Classification of Two-Dimensional Algebras

A complete classification of two-dimensional algebras over algebraically closed fields is providedComment: A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 7, is correcte

Stochastic Minimum Principle for Partially Observed Systems Subject to Continuous and Jump Diffusion Processes and Driven by Relaxed Controls

In this paper we consider non convex control problems of stochastic differential equations driven by relaxed controls. We present existence of optimal controls and then develop necessary conditions of optimality. We cover both continuous diffusion and Jump processes.Comment: Pages 23, Submitted to SIAM Journal on Control and Optimizatio