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Mixed graded structure on Chevalley-Eilenberg functors.
- Source :
-
Advances in Mathematics . Jun2024, Vol. 448, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we shall provide a purely ∞-categorical construction of the mixed graded structure (in the sense of Calaque, Pantev, Toën, Vaquié and Vezzosi) of Chevalley-Eilenberg complexes computing homology and cohomology of Lie algebras defined over a field k of characteristic 0. While this additional piece of structure on Chevalley-Eilenberg complexes is expected and described in work by Calaque and Grivaux in terms of explicit models, there is not a formal and model independent description of the mixed graded Chevalley-Eilenberg ∞-functors in available literature. After constructing in all details the Chevalley-Eilenberg ∞-functors and studying their main formal properties, we present some further conjectures on their behaviour. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE algebras
*CATEGORIES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 448
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 177455369
- Full Text :
- https://doi.org/10.1016/j.aim.2024.109721