Differential calculi over quantum groups

G. J. Murphy. "Differential calculi over quantum groups." Banach Center Publications 61.1 (2003): 157-170. <http://eudml.org/doc/282395>.

@article{G2003,
abstract = {An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.},
author = {G. J. Murphy},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {157-170},
title = {Differential calculi over quantum groups},
url = {http://eudml.org/doc/282395},
volume = {61},
year = {2003},
}

TY - JOUR
AU - G. J. Murphy
TI - Differential calculi over quantum groups
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 157
EP - 170
AB - An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.
LA - eng
UR - http://eudml.org/doc/282395
ER -