Equivariant Morita equivalences between Podleś spheres

Kenny De Commer. "Equivariant Morita equivalences between Podleś spheres." Banach Center Publications 98.1 (2012): 85-105. <http://eudml.org/doc/282549>.

@article{KennyDeCommer2012,
abstract = {We show that the family of Podleś spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.},
author = {Kenny De Commer},
journal = {Banach Center Publications},
keywords = {compact quantum groups; representation theory; Morita equivalence; Galois objects},
language = {eng},
number = {1},
pages = {85-105},
title = {Equivariant Morita equivalences between Podleś spheres},
url = {http://eudml.org/doc/282549},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Kenny De Commer
TI - Equivariant Morita equivalences between Podleś spheres
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 85
EP - 105
AB - We show that the family of Podleś spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.
LA - eng
KW - compact quantum groups; representation theory; Morita equivalence; Galois objects
UR - http://eudml.org/doc/282549
ER -