Results 51 to 60 of about 26,970 (130)
Regular Objects, Multiplicative Unitaries and Conjugation
The notion of left (resp. right) regular object of a tensor C*-category equipped with a faithful tensor functor into the category of Hilbert spaces is introduced. If such a category has a left (resp.
Pinzari, Claudia, Roberts, John E.
core +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Some new results on the Chu duality of discrete groups [PDF]
This paper deals mainly with the Chu duality of discrete groups. Among other results, we give sufficient conditions for an $FC$ group to satisfy Chu duality and characterize when the Chu quasi-dual and the Takahashi quasi-dual of a group $G$ coincide. As
Hernández, Salvador, Wu, Ta-Sun
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
wiley +1 more source
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley +1 more source
Dissipative energy functionals of passive linear time‐varying systems
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley +1 more source
The Howe-Moore property for real and p-adic groups
We consider in this paper a relative version of the Howe-Moore Property, about vanishing at infinity of coefficients of unitary representations. We characterize this property in terms of ergodic measure-preserving actions.
Cluckers, Raf +4 more
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Spectral theory for non-unitary twists
Let $G$ be a Lie-group and $\Ga\subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\om$ of $\Ga$ we show that the $G$-representation on $L^2(\Ga\bs G,\om)$ admits a complete filtration with irreducible ...
Deitmar, Anton
core +1 more source
Commutator criteria for strong mixing II. More general and simpler
8 pagesWe present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function.
Richard, Serge, Tiedra De Aldecoa, R
core +2 more sources
Quantum double of a (locally) compact group
We generalise the quantum double construction of Drinfel'd to the case of the (Hopf) algebra of suitable functions on a compact or locally compact group. We will concentrate on the *-algebra structure of the quantum double.
Communicated B. Ørsted +2 more
core +4 more sources

