Results 1 to 10 of about 494,493 (249)

Integral motivic sheaves and geometric representation theory [PDF]

open access: yesAdvances in Mathematics, 2022
With representation-theoretic applications in mind, we construct a formalism of reduced motives with integral coefficients. These are motivic sheaves from which the higher motivic cohomology of the base scheme has been removed.
J. Eberhardt, Jakob Scholbach
semanticscholar   +1 more source

The Representation Theory of Neural Networks [PDF]

open access: yesMathematics, 2020
In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, we prove that a neural network is a quiver representation with activation functions, a mathematical object that we ...
M. Armenta, Pierre-Marc Jodoin
semanticscholar   +1 more source

Integral representation theory

open access: yesGraduate Texts in Mathematics, 2021
In this chapter, we consider a slightly more general framework on the preceding chapters: we consider lattices as projective modules, and relate this to invertibility and representation theory in an integral sense.
J. Voight
semanticscholar   +1 more source

Cotorsion torsion triples and the representation theory of filtered hierarchical clustering [PDF]

open access: yesAdvances in Mathematics, 2019
We give a full classification of representation types of the subcategories of representations of an m × n rectangular grid with monomorphisms (dually, epimorphisms) in one or both directions, which appear naturally in the context of clustering as two ...
Ulrich Bauer   +3 more
semanticscholar   +1 more source

STABILITY PATTERNS IN REPRESENTATION THEORY [PDF]

open access: yesForum of Mathematics, Sigma, 2013
We develop a comprehensive theory of the stable representation categories of several sequences of groups, including the classical and symmetric groups, and their relation to the unstable categories.
Steven V. Sam, Andrew Snowden
semanticscholar   +1 more source

Tilting Theory: A Gift of Representation Theory to Mathematics [PDF]

open access: yesThe Mathematical Intelligencer, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Introduction to representation theory [PDF]

open access: yesGraduate Studies in Mathematics, 2009
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and ...
Pavel Etingof   +6 more
semanticscholar   +1 more source

Mathematical music theory and the representation of Igbo music [PDF]

open access: yesProceedings of Meetings on Acoustics, 2019
The purpose of our paper is to introduce African mathematical music theory: to analyze and represent African (Nigerian) music through visualizations and sonifications of beat-class theory. Many of the current analytical methods to study African (Nigerian) music lack the qualities necessary to recognize the intricate imbibements from music.
Calilhanna, Andrea (S35996)   +1 more
openaire   +2 more sources

Algorithms for representation theory of real reductive groups [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2008
The admissible representations of a real reductive group G are known by work of Langlands, Knapp, Zuckerman and Vogan. This paper describes an effective algorithm for computing the irreducible representations of G with regular integral infinitesimal ...
Jeffrey Adams, F. Cloux
semanticscholar   +1 more source

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