PD operads and explicit partition lie algebras
<p>Infinitesimal deformations are governed by partition Lie algebras. In characteristic 0, these higher categorical structures are modelled by differential graded Lie algebras, but in characteristic p, they are more subtle.</p> <p>We give explicit models for partition Lie algebras...
| 主要な著者: | , , |
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| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
American Mathematical Society
2024
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| 要約: | <p>Infinitesimal deformations are governed by partition Lie algebras. In characteristic
0, these higher categorical structures are modelled by differential graded Lie algebras, but in
characteristic p, they are more subtle.</p>
<p>We give explicit models for partition Lie algebras over general coherent rings, both in the
setting of spectral and derived algebraic geometry. For the spectral case, we refine operadic
Koszul duality to a functor from operads to divided power operads, by taking ‘refined linear
duals’ of Σn-representations. The derived case requires a further refinement of Koszul duality
to a more genuine setting.</p> |
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