Results 111 to 120 of about 30,222 (232)
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
wiley +1 more source
Commutativity of intertwining operators. II
In a series of papers written partly in collaboration with E. M. Stein, the author has investigated the question of reducibility for the major unitary representations of a connected semisimple Lie group G of matrices.
A. W. Knapp
semanticscholar +1 more source
A classification of Prüfer domains of integer‐valued polynomials on algebras
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
Jensen's inequality for partial traces in von Neumann algebras
Abstract Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
Mizanur Rahaman, Lyudmila Turowska
wiley +1 more source
Identities of bilinear mappings and graded polynomial identities of matrices
We describe the polynomial identities of the bilinear mappings V ⊗ W → K and Vr ⊗ V ∗ r → Mr (K), where V , W , Vr are finite dimensional vector spaces over a field K of characteristic 0, dim Vr = r and Mr (K) is the r × r matrix algebra.
Y. Bahturin, V. Drensky
semanticscholar +1 more source
Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$
Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
wiley +1 more source
Noncommutative polygonal cluster algebras
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
Skein theory for the Links–Gould polynomial
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis +5 more
wiley +1 more source
A P‐adic class formula for Anderson t‐modules
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source

