225 citations · 295 across the 10 of their papers we have counts for
11 papers
The Mathieu conjecture for reduced to an abelian conjecture
Michael Müger, Lars Tuset
We reduce the Mathieu conjecture for to a conjecture about moments of Laurent polynomials in two variables with single variable polynomial coefficients.
On Ikehara type Tauberian theorems with remainders
Michael Müger
Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\…
A remark on the invariance of dimension
Michael Mueger
Combining Kulpa's proof of the cubical Sperner lemma and a dimension theoretic idea of van Mill we give a very short proof of the invariance of dimension, i.e. the statement that c…
Modular Categories
Michael Mueger
This is a review article on modular categories, extending an invited talk given at the workshop "Categorical (co)algebraic methods in quantum informatics and linguistics", Oxford,…
The Witt group of non-degenerate braided fusion categories
Alexei Davydov, Michael Mueger, Dmitri Nikshych +1
We give a characterization of Drinfeld centers of fusion categories as non-degenerate braided fusion categories containing a Lagrangian algebra. Further we study the quotient of th…
On Superselection Theory of Quantum Fields in Low Dimensions
Michael Mueger
We discuss finite local extensions of quantum field theories in low space time dimensions in connection with categorical structures and the question of modular invariants in confor…
Monoids, Embedding Functors and Quantum Groups
Michael Müger, Lars Tuset
We show that the left regular representation π_l of a discrete quantum group (A,Δ) has the absorbing property and forms a monoid (π_l,\tilde{m},\tildeη) in the representation categ…
Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory
Yasuyuki Kawahigashi, Roberto Longo, Michael Mueger
We describe the structure of the inclusions of factors A(E) contained in A(E')' associated with multi-intervals E of R for a local irreducible net A of von Neumann algebras on the…
On Soliton Automorphisms in Massive and Conformal Theories
Michael Mueger
For massive and conformal quantum field theories in 1+1 dimensions with a global gauge group we consider soliton automorphisms, viz. automorphisms of the quasilocal algebra which a…
Superselection Structure of Massive Quantum Field Theories in 1+1 Dimensions
Michael Mueger
We show that a large class of massive quantum field theories in 1+1 dimensions, characterized by Haag duality and the split property for wedges, does not admit locally generated su…
Quantum Double Actions on Operator Algebras and Orbifold Quantum Field Theories
Michael Mueger
Starting from a local quantum field theory with an unbroken compact symmetry group in 1+1-dimensional spacetime we construct disorder fields implementing gauge transformations…