Algebraic groups and Lie algebras form a fundamental cornerstone in contemporary mathematics, intertwining the geometric framework of algebraic varieties with the analytic structure of continuous ...
Lie groups furnish a unifying framework in which group theory and smooth geometry intersect. As smooth manifolds endowed with a group operation that is infinitely differentiable, Lie groups serve as ...
Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...