A diagrammatic approach to categorification of quantum groups I
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2008
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| _version_ | 1866913660066070528 |
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| author | Khovanov, Mikhail Lauda, Aaron D. |
| author_facet | Khovanov, Mikhail Lauda, Aaron D. |
| contents | To each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify $U^-_q(\mathfrak{g})$, where $\mathfrak{g}$ is the Kac-Moody Lie algebra associated with the graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0803_4121 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | A diagrammatic approach to categorification of quantum groups I Khovanov, Mikhail Lauda, Aaron D. Quantum Algebra Representation Theory 81R50, 16S99 To each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify $U^-_q(\mathfrak{g})$, where $\mathfrak{g}$ is the Kac-Moody Lie algebra associated with the graph. |
| title | A diagrammatic approach to categorification of quantum groups I |
| topic | Quantum Algebra Representation Theory 81R50, 16S99 |
| url | https://arxiv.org/abs/0803.4121 |