Results 51 to 60 of about 381 (158)
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source
On the Cartan matrix of an artin algebra of global dimension two
The purpose of this paper is to show that if n is an artin algebra of g!obal dimension (81 dim) 2, then the determinant of its Cartan matrix equals + I. This generalizes previous results of Donovan and Freislich [2], Igusa and Todorov ]4 ] and Wilson [5]. We recall that if n is an artin algebra (for instance, a finite-dimensional algebra over a field),
openaire +1 more source
$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver
22 ...
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Gravitational solitons and non-relativistic string theory
We explore the non-relativistic string theory (NRST) limit of type II string theory and its action on gravitational solitons. As a start, we exhibit in detail that the NRST limit is T-dual to a discrete lightcone limit and can be viewed as a near-BPS ...
Troels Harmark +2 more
doaj +1 more source
A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Derangements in intransitive groups
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
String Functions for Affine Lie Algebras Integrable Modules
The recursion relations of branching coefficients kξ(μ) for a module Lg¯ hμ reduced to a Cartan subalgebra h are transformed in order to place the recursion shifts γ Î Γa Ì h into the fundamental Weyl chamber.
Petr Kulish, Vladimir Lyakhovsky
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Towards the τ-function of the quantum groups
The theory of τ-functions is receiving attention, due to their appearance as non-perturbative partition functions of certain quantum field theories. These τ−functions satisfy Hirota’s bilinear identities (BI).
M. Chepurnoi, M. Sharov
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