TY - ELEC
AU - Wenzl, Hans
PY - 2018
TI - Classification of certain braided tensor categories
LA - eng
M3 - Moving Image
AB - By definition, the endomorphism spaces of tensor powers
of objects of a braided tensor category carries a representation
of the braid group. For Lie types A and C, this can be used
to classify all braided tensor categories whose fusion ring
is the one of the representation category of the related Lie algebra.
We also discuss the situation for other classical Lie types
and some exceptional types.
There are several different ways how to construct TQFTs and
modular functors. One of the motivations for these categorical
questions was to decide when these constructions yield
the same results.
N2 - By definition, the endomorphism spaces of tensor powers
of objects of a braided tensor category carries a representation
of the braid group. For Lie types A and C, this can be used
to classify all braided tensor categories whose fusion ring
is the one of the representation category of the related Lie algebra.
We also discuss the situation for other classical Lie types
and some exceptional types.
There are several different ways how to construct TQFTs and
modular functors. One of the motivations for these categorical
questions was to decide when these constructions yield
the same results.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377417
ER - End of Reference