The study of differential operators within the framework of Lie groups offers a profound gateway into understanding symmetry, geometry and representation theory. At its core, this area investigates ...

Proceedings of the American Mathematical Society, Vol. 114, No. 3 (Mar., 1992), pp. 723-731 (9 pages) Let G be a Lie group, and let σ be an involutive automorphism on G. Then we establish a ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

We prove existence theorems representing homotopy classes by p-harmonic maps of least p-energy, and representing nthhomotopy classes by n-harmonic maps, generalizing theorems of Cartan and ...

Algebraic supergroups and supergeometry represent a profound synthesis of algebraic geometry and supersymmetry, offering a comprehensive framework for understanding symmetries that extend classical ...