Annales Mathématiques
Blaise Pascal
no. 2
Pseudo-Riemannian metrics on bicovariant bimodules
Jyotishman Bhowmick1 ; Sugato Mukhopadhyay1
1 Theoretical Statistics and Mathematics Unit Indian Statistical Institute 203 B.T. Road Kolkata 700108 India
Annales mathématiques Blaise Pascal, Tome 27 (2020) no. 2, pp. 159-180.

We study pseudo-Riemannian invariant metrics on bicovariant bimodules over Hopf algebras. We clarify some properties of such metrics and prove that pseudo-Riemannian invariant metrics on a bicovariant bimodule and its cocycle deformations are in one to one correspondence.

Publié le :
DOI : 10.5802/ambp.394
Mots clés : bicovariant bimodules, pseudo-Riemannian metric, cocycle deformations

Jyotishman Bhowmick 1 ; Sugato Mukhopadhyay 1

1 Theoretical Statistics and Mathematics Unit Indian Statistical Institute 203 B.T. Road Kolkata 700108 India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Jyotishman Bhowmick; Sugato Mukhopadhyay. Pseudo-Riemannian metrics on bicovariant bimodules. Annales mathématiques Blaise Pascal, Tome 27 (2020) no. 2, pp. 159-180. doi : 10.5802/ambp.394. https://ambp.centre-mersenne.org/articles/10.5802/ambp.394/

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