Lie Algebras over a field of positiv characteristic and their deformations
Representations of twisted affine Lie Superalgebras and their quantizations
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 49, n. 8, p. 3507-3533, JUL 7 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
This letter is divided in two parts. In the first one it will be shown that the datum of a post-Lie product is equivalent to the one of an invertible crossed morphism between two Lie algebras. Moreover it will be argued that the integration of such a crossed morphism yields the post-Lie Magnus expansion associated to the original post-Lie algebra. The second part is devoted to present two combinatorial methods to compute the coefficients of this remarkable formal series. Both methods are based on special tubings on planar trees. (AU) | |
| FAPESP's process: | 18/19603-0 - Homotopy and root theory, manifold theory, stratified spaces, spherical space forms and topological dynamic systems. |
| Grantee: | Alexandre Thomas Guillaume Quesney |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |