We develop some basic homological theory of hopfological algebra as defined by Khovanov. A simplicial bar resolution for an arbitrary hopfological module is constructed, and some derived analogue of Morita theory is established. We also discuss about some special classes of examples that appear naturally in categorification.
| Identifer | oai:union.ndltd.org:columbia.edu/oai:academiccommons.columbia.edu:10.7916/D8G73M28 |
| Date | January 2013 |
| Creators | Qi, You |
| Source Sets | Columbia University |
| Language | English |
| Detected Language | English |
| Type | Theses |
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