address

Address

Claus Michael Ringel
Fakultät für Mathematik Universität Bielefeld POBox 100 131 D-33 501 Bielefeld Germany

Tel: (+521)106-5033

Fax: (+521)106-6482
e-mail: ringel@math.uni-bielefeld.de

Sprechstunde

Secretary:

NN
Tel: (+521) 106 5021
Fax: (+521) 106 6482
e-mail:
Office V5-224,

Skizze für Anlieferungen zum V-Zahn

Research interests

My research is devoted to representations of finite-dimensional associative algebras as they arise in many parts of mathematics and mathematical physics. The target is to describe the general structure of these module categories, their derived categories as well as related categories such as the homotopy category of perfect complexes or the category of Gorenstein-projective modules. In this way, one tries to obtain a conceptual framework for dealing with matrix problems. The invariants which have to be studied concern combinatorial, homological or geometrical properties and provide relations to Lie theory, combinatorial algebra, commutative ring theory and algebraic geometry. The representation theory of quivers may be used in order to construct quantum groups and cluster algebras.

Some publications

Infinite dimensional representations of finite dimensional hereditary algebras. Symposia Math. 23 (1979), 321-412.
Tame algebras and integral quadratic forms. Springer LNM 1099 (1984).
Hall polynomials for the representation-finite hereditary algebras. Adv. Math. 84 (1990), 137-178
The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences. Math. Z. 208 (1991), 209-223.
The Gabriel-Roiter measure. Bull. Sci. math. 129 (2005), 726-748

Disclaimer: "I am not Ringel"

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Fakultät für Mathematik, Universität Bielefeld
Verantwortlich: C.M.Ringel
E-Mail: ringel@math.uni-bielefeld.de

December 1, 2004

Tel:	(+521)106-5033
Fax:	(+521)106-6482
e-mail:	ringel@math.uni-bielefeld.de