Relating quantum and braided Lie algebras

X. Gomez, and S. Majid. "Relating quantum and braided Lie algebras." Banach Center Publications 61.1 (2003): 91-102. <http://eudml.org/doc/282290>.

@article{X2003,
abstract = {We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if $_\{Γ\}$ is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra A, then the space $k ⊕ _\{Γ\}$ is a braided Lie algebra in the category of A-comodules. An important consequence of this is that the universal enveloping algebra $U(_\{Γ\})$ is a bialgebra in the category of A-comodules.},
author = {X. Gomez, S. Majid},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {91-102},
title = {Relating quantum and braided Lie algebras},
url = {http://eudml.org/doc/282290},
volume = {61},
year = {2003},
}

TY - JOUR
AU - X. Gomez
AU - S. Majid
TI - Relating quantum and braided Lie algebras
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 91
EP - 102
AB - We outline our recent results on bicovariant differential calculi on co-quasitriangular Hopf algebras, in particular that if $_{Γ}$ is a quantum tangent space (quantum Lie algebra) for a CQT Hopf algebra A, then the space $k ⊕ _{Γ}$ is a braided Lie algebra in the category of A-comodules. An important consequence of this is that the universal enveloping algebra $U(_{Γ})$ is a bialgebra in the category of A-comodules.
LA - eng
UR - http://eudml.org/doc/282290
ER -