Concept
C*-algebra
Related publications (44)
Positive Definite Completions and Continuous Graphical Models
This thesis concerns the theory of positive-definite completions and its mutually beneficial connections to the statistics of function-valued or continuously-indexed random processes, better known as functional data analysis. In particular, it dwells upon ...
EPFL2023On the Grothendieck-Serre conjecture for classical groups
We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue ...
WILEY2022Multiplicity-free representations of algebraic groups II
Donna Testerman, Martin W. Liebeck
We continue our work, started in [9], on the program of classifying triples (X, Y, V), where X, Yare simple algebraic groups over an algebraically closed field of characteristic zero with X < Y, and Vis an irreducible module for Y such that the restriction ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022On the stress tensor light-ray operator algebra
Grégoire Olivier Mathys, Matthew Thomas Walters, Alexandre Mathieu Frédéric Belin
We study correlation functions involving generalized ANEC operators of the form integral dx-x-n+2T--x -> in four dimensions. We compute two, three, and ...
2021Linear Lipschitz and C-1 extension operators through random projection
We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C-1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C-l extension theorem by ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2021The algebra of Boolean matrices, correspondence functors, and simplicity
We determine the dimension of every simple module for the algebra of the monoid of all relations on a finite set (i.e. Boolean matrices). This is in fact the same question as the determination of the dimension of every evaluation of a simple correspondence ...
2020The uniform symbolic topology property for diagonally F-regular algebras
Let k be a field of positive characteristic. Building on the work of the second named author, we define a new class of k-algebras, called diagonally F-regular algebras, for which the so-called Uniform. Symbolic Topology Property (USTP) holds effectively. W ...
2020A multiphase CMAQ version 5.0 adjoint
We present the development of a multiphase adjoint for the Community Multiscale Air Quality (CMAQ) model, a widely used chemical transport model. The adjoint model provides location- and time-specific gradients that can be used in various applications such ...
2020Machine-Learning of Atomic-Scale Properties Based on Physical Principles
Michele Ceriotti, Michael John Willatt
We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train from linear fun ...
Springer International Publishing2020An effective proof of the Cartan formula: The even prime
Anibal Maximiliano Medina Mardones
The Cartan formula encodes the relationship between the cup product and the action of the Steenrod algebra in F-p-cohomology. In this work, we present an effective proof of the Cartan formula at the cochain level when the field is F-2. More explicitly, for ...
2020