Kashiwara–Vergne solutions degree by degree

Zsuzsanna Dancso; Iva Halacheva; Guillaume Laplante-Anfossi; Marcy Robertson

doi:10.5802/crmath.750

Kashiwara–Vergne solutions degree by degree

Zsuzsanna Dancso
, Iva Halacheva
, Guillaume Laplante-Anfossi
, Marcy Robertson

The University of Sydney
Boston University
University of Melbourne

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Comptes Rendus Mathématique
Vol/bind	363
Sider (fra-til)	777-789
ISSN	1631-073X
DOI	https://doi.org/10.5802/crmath.750
Status	Udgivet - 27. jun. 2025
Udgivet eksternt	Ja

Dokumenter og links

10.5802/crmath.750

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

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AU - Dancso, Zsuzsanna

AU - Halacheva, Iva

AU - Laplante-Anfossi, Guillaume

AU - Robertson, Marcy

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N2 - 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.

AB - 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.

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Kashiwara–Vergne solutions degree by degree

Abstract

Dokumenter og links

SDU link

Fingeraftryk

Citationsformater