Semi-Infinite Highest Weight Categories
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6783-8 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6783-8 (ISBN)
We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of stratified categories. In the upper finite cases, we give an alternative characterization of these categories in terms of based quasi-hereditary algebras and based stratified algebras, which are certain locally unital algebras possessing triangular bases.
Jonathan Brundan, University of Oregon, Eugene, Oregon. Catharina Stroppel, University of Bonn, Germany.
Chapters
Acknowledgments
1. Introduction
2. Some finiteness properties on Abelian categories
3. Generalizations of highest weight categories
4. Tilting modules and semi-infinite Ringel duality
5. Generalizations of quasi-hereditary algebras
6. Examples
Erscheinungsdatum | 02.03.2024 |
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Reihe/Serie | Memoirs of the American Mathematical Society ; Volume: 293 Number: 1459 |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 272 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-6783-6 / 1470467836 |
ISBN-13 | 978-1-4704-6783-8 / 9781470467838 |
Zustand | Neuware |
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Buch | Softcover (2015)
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37,99 €