Nanette Nopto
Tel: (+521) 106 5021
Fax: (+521) 106 6482
e-mail: nnopto@math.uni-bielefeld.de
Office V5-224,
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
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Infinite dimensional representations of finite dimensional hereditary algebras.
Symposia Math. 23 (1979), 321-412.
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Tame algebras and integral quadratic forms. Springer LNM 1099 (1984).
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Hall polynomials for the representation-finite hereditary algebras.
Adv. Math. 84 (1990), 137-178
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The category of modules with good filtrations over a quasi-hereditary algebra
has almost split sequences.
Math. Z. 208 (1991), 209-223.
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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
Jun 25, 2016
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