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.
@article{AMBP_2020__27_2_159_0, author = {Bhowmick, Jyotishman and Mukhopadhyay, Sugato}, title = {Pseudo-Riemannian metrics on bicovariant bimodules}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {159--180}, publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal}, volume = {27}, number = {2}, year = {2020}, doi = {10.5802/ambp.394}, language = {en}, url = {http://www.numdam.org/articles/10.5802/ambp.394/} }
TY - JOUR AU - Bhowmick, Jyotishman AU - Mukhopadhyay, Sugato TI - Pseudo-Riemannian metrics on bicovariant bimodules JO - Annales mathématiques Blaise Pascal PY - 2020 SP - 159 EP - 180 VL - 27 IS - 2 PB - Université Clermont Auvergne, Laboratoire de mathématiques Blaise Pascal UR - http://www.numdam.org/articles/10.5802/ambp.394/ DO - 10.5802/ambp.394 LA - en ID - AMBP_2020__27_2_159_0 ER -
%0 Journal Article %A Bhowmick, Jyotishman %A Mukhopadhyay, Sugato %T Pseudo-Riemannian metrics on bicovariant bimodules %J Annales mathématiques Blaise Pascal %D 2020 %P 159-180 %V 27 %N 2 %I Université Clermont Auvergne, Laboratoire de mathématiques Blaise Pascal %U http://www.numdam.org/articles/10.5802/ambp.394/ %R 10.5802/ambp.394 %G en %F AMBP_2020__27_2_159_0
Bhowmick, Jyotishman; Mukhopadhyay, Sugato. Pseudo-Riemannian metrics on bicovariant bimodules. Annales mathématiques Blaise Pascal, Tome 27 (2020) no. 2, pp. 159-180. doi : 10.5802/ambp.394. http://www.numdam.org/articles/10.5802/ambp.394/
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