nLab Claus Michael Ringel

Selected work

Claus Michael Ringel is a German algebraist.

Selected work

On Hall algebras:

Ringel realized that Hall's construction of an associative algebra structure from the combinatorics of flags of p-abelian groups (defined in terms of numbers of extensions) can be applied to the category of representations of a quiver over a finite field F q\mathbf{F}_q and related it to quantum groups in

This work influenced George Lusztig‘s work on quantum groups where Lusztig has constructed “the upper half” of quantum group as a Hall algebra adapted to perverse sheaves over flag variety of a quiver.

Other works include

  • C. M. Ringel, The simple Artinian spectrum of a finite dimensional algebra (in Dekker Lect. Notes 51, 1979)
category: people

Last revised on October 29, 2023 at 07:41:00. See the history of this page for a list of all contributions to it.