Gratz, S. and Stevenson, G. (2018) On the graded dual numbers, arcs, and non-crossing partitions of the integers. Journal of Algebra, 515, pp. 360-388. (doi: 10.1016/j.jalgebra.2018.08.023)
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Abstract
We give a combinatorial model for the bounded derived category of graded modules over the dual numbers in terms of arcs on the integer line with a point at infinity. Using this model we describe the lattice of thick subcategories of the bounded derived category, and of the perfect complexes, in terms of non-crossing partitions. We also make some comments on the symmetries of these lattices, exceptional collections, and the analogous problem for the unbounded derived category.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Gratz, Dr Sira and Stevenson, Dr Gregory |
| Authors: | Gratz, S., and Stevenson, G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Algebra |
| Publisher: | Elsevier |
| ISSN: | 0021-8693 |
| ISSN (Online): | 1090-266X |
| Published Online: | 07 September 2018 |
| Copyright Holders: | Copyright © 2018 Elsevier Inc. |
| First Published: | First published in Journal of Algebra 515: 360-388 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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