Enhanced nilHecke algebras and baby Verma modules
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909533080649728 |
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| author | Rizzo, Elia Vaz, Pedro |
| author_facet | Rizzo, Elia Vaz, Pedro |
| contents | We define a derivation on the enhanced nilHecke algebra yielding a p-dg algebra when working over a field of characteristic p. We define functors on the category of p-dg modules resulting in an action of small quantum sl2 on the Grothendieck group, which is isomorphic to a baby Verma module. We upgrade the derivation into an action of the Lie algebra sl(2). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01950 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Enhanced nilHecke algebras and baby Verma modules Rizzo, Elia Vaz, Pedro Representation Theory Quantum Algebra We define a derivation on the enhanced nilHecke algebra yielding a p-dg algebra when working over a field of characteristic p. We define functors on the category of p-dg modules resulting in an action of small quantum sl2 on the Grothendieck group, which is isomorphic to a baby Verma module. We upgrade the derivation into an action of the Lie algebra sl(2). |
| title | Enhanced nilHecke algebras and baby Verma modules |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2308.01950 |