Algebraic groups form a central pillar in modern mathematics, bridging abstract algebra, geometry, and number theory. These groups, being simultaneously algebraic varieties and groups, serve as ...

American Journal of Mathematics, Vol. 120, No. 6 (Dec., 1998), pp. 1277-1287 (11 pages) A theorem of Cassidy states that any Zariski closed differential algebraic subgroup of a simple linear algebraic ...

Transactions of the American Mathematical Society, Vol. 364, No. 4 (APRIL 2012), pp. 1997-2019 (23 pages) Let G be a simple algebraic group over an algebraically closed field k of bad characteristic.

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list ...

Interactions between theoretical computer science and mathematics (particularly algebraic geometry, representation theory, and group theory). In particular, this currently involves studying orbit ...

A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure ...

Algebraic groups, defined by polynomial equations, are central to modern algebraic geometry and number theory, embodying symmetry in a wide range of mathematical structures. Their study intersects ...