This special issue is planned to focus on most recent advances in applications of Lie groups. It will cover a wide area of topics in interdisciplinary studies in mathematics, mechanics, physics, and finance. We are particularly interested in receiving novel contributions devoted to Lie groups, in particular, applications to specific problems in applied sciences.

We aim to bring together contributions across a variety of applications of Lie groups and invite researchers to submit original research and/or domain reviews in various topics. Potential topics include, but are not limited to:

• Lie algebras and Lie pseudogroups
• Optimal control
• Topological groups
• Representation theory of Lie algebras
• Differential geometry
• Finance
• Dynamical systems
• Quantum mechanics
• Supersymmetry and superintegrability
• Information theory
• Lie theory and symmetry methods in differential, fractal differential, integrodifferential, and difference equations
• Further applications in physics and mechanics

Note: The recent impact factor of the journal Abstract and Applied Analysis is 1.318 according to 2011 Journal Citation Report (http://www.hindawi.com/journals/aaa/).

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/algaas/ according to the following timetable: