activity
19962003
most citedOn the center of a compact group

2 citations · 4 across the 2 of their papers we have counts for

collaborators

8 papers

math.GR20032 cited

On the center of a compact group

Michael Mueger

We prove a conjecture due to Baumgaertel and Lledo according to which for every compact group G one has Z(G)^ \cong C(G), where the `chain group' C(G) is the free abelian group (wr…

math.CT20022 cited

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…

math.CT2002

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…

math.CT2001

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…

math.CT2001

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…

math-ph2000

Conformal Field Theory and Doplicher-Roberts Reconstruction

Michael Mueger

After a brief review of recent rigorous results concerning the representation theory of rational chiral conformal field theories (RCQFTs) we focus on pairs (A,F) of conformal field…