39 citations · 85 across the 12 of their papers we have counts for
6 papers · 1 filter
Tensor categories: A selective guided tour
Michael Mueger
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…
Galois extensions of braided tensor categories and braided crossed G-categories
Michael Mueger
We show that the author's notion of Galois extensions of braided tensor categories [22], see also [3], gives rise to braided crossed G-categories, recently introduced for the purpo…
On the Structure of Modular Categories
Michael Mueger
For a braided tensor category C and a subcategory K there is a notion of centralizer C_C(K), which is a full tensor subcategory of C. A pre-modular tensor category is known to be m…
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
Michael Mueger
We are concerned with the center (=quantum double) of tensor categories and prove generalizations of several results proven previously for quantum doubles of Hopf algebras. We cons…
From Subfactors to Categories and Topology I. Frobenius algebras in and Morita equivalence of tensor categories
Michael Mueger
We consider certain categorical structures that are implicit in subfactor theory. Making the connection between subfactor theory (at finite index) and category theory explicit shed…
Galois Theory for Braided Tensor Categories and the Modular Closure
Michael Mueger
Given a braided tensor *-category C with conjugate (dual) objects and irreducible unit together with a full symmetric subcategory S we define a crossed product C\rtimes S. This con…