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 ...

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one that cuts across a wide spectrum of research within the ...

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 ...

American Journal of Mathematics, Vol. 124, No. 1 (Feb., 2002), pp. 1-48 (48 pages) We consider zeta functions defined as Euler products of $W(p,p^{-s})$ over all ...

This workshop focuses on recent advances around the (co-)homology of general linear and related groups. These basic topological invariants are, for example, related to questions in algebraic K-theory ...

Algebraic models that deal with kinship and marriage systems by reducing a population to sets of persons are found to be inappropriate both for the Purum and for some levels of abstraction in certain ...

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 ...