Journal Article

·2001

Poincaré-Lie algebra and noncommutative differential calculus

Z. Güven YTU , Zehra Can YTU , R. M. Mir‐Kasimov YTU , Ö. Oǧuz YTU

Physics of Atomic Nuclei

Abstract

A realization of Poincaré-Lie algebra in terms of noncommutative differential calculus was constructed. Corresponding relativistic quantum mechanics was considered.

Keywords

Physics Noncommutative geometry Quantum differential calculus Differential calculus Lie algebra Lie conformal algebra Algebra over a field Noncommutative quantum field theory Graded Lie algebra Mathematical physics Differential (mechanical device) Noncommutative algebraic geometry Universal enveloping algebra Pure mathematics Quantum mechanics Mathematics

Subject Areas

Algebraic structures and combinatorial models ·Geometry and Topology ·Physical Sciences
Advanced Topics in Algebra ·Algebra and Number Theory ·Physical Sciences
Advanced Algebra and Geometry ·Mathematical Physics ·Physical Sciences

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