Is there a vector space whose dimension is the golden ratio? Of course not--the golden ratio
is not an integer! But this can happen for generalizations of vector spaces--objects of a …

Coassociativity of∆ follows from associativity of the product in G. To see that the cancellation
property holds, note that (A⊗ 1)∆(A) is the unital∗-subalgebra of C (G× G) spanned by all …

A bstract When studying quantum field theories and lattice models, it is often useful to
analytically continue the number of field or spin components from an integer to a real …

The set of equivalence classes of Longo's Q-systems is shown to serve as a right subfactor
analogue of the second cohomology. This" cohomology" is computed for several classes of …

We classify the compact quantum groups acting on 4 points. These are the quantum
subgroups of the quantum permutation group 𝓠4. Our main tool is a new presentation for the …

These are the lecture notes for a short course on tensor categories. The coverage in these
notes is relatively non-technical, focussing on the essential ideas. They are meant to be …

A finite tensor category is called pointed if all its simple objects are invertible. We find
necessary and sufficient conditions for two pointed semisimple categories to be dual to each …

Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a
construction associating to an algebra in a monoidal category a commutative algebra (full …

We analyze the action of the Brauer–Picard group of a pointed fusion category on the set of
Lagrangian subcategories of its center. Using this action we compute the Brauer–Picard …

We describe the group| $ Aut_ {br}^ 1 ({\cal Z}(G)) $| A utbr 1 (Z (G)) of braided tensor
autoequivalences of the Drinfeld centre of a finite group G isomorphic to the identity functor …