M
Markus Reineke
Researcher at Ruhr University Bochum
Publications - 107
Citations - 4680
Markus Reineke is an academic researcher from Ruhr University Bochum. The author has contributed to research in topics: Quiver & Moduli space. The author has an hindex of 31, co-authored 103 publications receiving 4304 citations. Previous affiliations of Markus Reineke include University of Münster & University of Wuppertal.
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Tilting theory and cluster combinatorics
TL;DR: In this article, a new category C, called the cluster category, is introduced, which is obtained as a quotient of the bounded derived category D of the module category of a finite-dimensional hereditary algebra H over a field.
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Tilting theory and cluster combinatorics
TL;DR: In this paper, a new category C, called the cluster category, which is obtained as a quotient of the bounded derived category D of the module category of a finite-dimensional hereditary algebra H over a field, is introduced.
Journal ArticleDOI
The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
TL;DR: In this paper, an analog of the Harder-Narasimhan recursion is constructed inside the quantized enveloping algebra of a Kac-Moody algebra, leading to a canonical orthogonal system, the HN system, in this algebra.
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Generalized associahedra via quiver representations
TL;DR: The main properties of these fans then become easy consequences of the known facts about tilting modules due to K. Bongartz, D. Happel and C. Ringel.
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The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
TL;DR: In this paper, an analog of the Harder-Narasimhan recursion is constructed inside the quantized enveloping algebra of a Kac-Moody algebra, leading to a canonical orthogonal system, the HN system, in this algebra.