Kashiwara-Vergne solutions degree by degree
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912454839107584 |
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| author | Dancso, Zsuzsanna Halacheva, Iva Laplante-Anfossi, Guillaume Robertson, Marcy |
| author_facet | Dancso, Zsuzsanna Halacheva, Iva Laplante-Anfossi, Guillaume Robertson, Marcy |
| contents | We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which under the Alekseev-Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara-Vergne group is isomorphic to the graded Kashiwara-Vergne Lie algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20420 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kashiwara-Vergne solutions degree by degree Dancso, Zsuzsanna Halacheva, Iva Laplante-Anfossi, Guillaume Robertson, Marcy Quantum Algebra Algebraic Topology 17B01, 17B45, 57K12 We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which under the Alekseev-Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara-Vergne group is isomorphic to the graded Kashiwara-Vergne Lie algebra. |
| title | Kashiwara-Vergne solutions degree by degree |
| topic | Quantum Algebra Algebraic Topology 17B01, 17B45, 57K12 |
| url | https://arxiv.org/abs/2310.20420 |