Free dynamical quantum groups and the dynamical quantum group $S{U}_Q^{dyn}\left(2\right)$

Thomas Timmermann. "Free dynamical quantum groups and the dynamical quantum group $SU^{dyn}_{Q}(2)$." Banach Center Publications 98.1 (2012): 311-341. <http://eudml.org/doc/281638>.

@article{ThomasTimmermann2012,
abstract = {We introduce dynamical analogues of the free orthogonal and free unitary quantum groups, which are no longer Hopf algebras but Hopf algebroids or quantum groupoids. These objects are constructed on the purely algebraic level and on the level of universal C*-algebras. As an example, we recover the dynamical $SU_\{q\}(2)$ studied by Koelink and Rosengren, and construct a refinement that includes several interesting limit cases.},
author = {Thomas Timmermann},
journal = {Banach Center Publications},
keywords = {dynamical quantum group; Hopf algebroid; quantum groupoid},
language = {eng},
number = {1},
pages = {311-341},
title = {Free dynamical quantum groups and the dynamical quantum group $SU^\{dyn\}_\{Q\}(2)$},
url = {http://eudml.org/doc/281638},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Thomas Timmermann
TI - Free dynamical quantum groups and the dynamical quantum group $SU^{dyn}_{Q}(2)$
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 311
EP - 341
AB - We introduce dynamical analogues of the free orthogonal and free unitary quantum groups, which are no longer Hopf algebras but Hopf algebroids or quantum groupoids. These objects are constructed on the purely algebraic level and on the level of universal C*-algebras. As an example, we recover the dynamical $SU_{q}(2)$ studied by Koelink and Rosengren, and construct a refinement that includes several interesting limit cases.
LA - eng
KW - dynamical quantum group; Hopf algebroid; quantum groupoid
UR - http://eudml.org/doc/281638
ER -