Claus Michael Ringel is a German algebraist.

- personal page at Bielefeld

On Hall algebras:

- Claus M. Ringel,
*The Hall multiplication]*, lecture notes (2006) [web]

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 $\mathbf{F}_q$ and related it to quantum groups in

- C. M. Ringel,
*Hall algebras and quantum groups*, Invent. Math.**101**(3): 583–591, doi MR1062796 - wikipedia: Ringel-Hall algebra

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.