Sökning: "Frobenius algebra"

Hittade 5 uppsatser innehållade orden Frobenius algebra.

  1. 1. Classification of almost monomial subalgebras of small codimension

    Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Ludvig Sundell; [2023]
    Nyckelord :Algebra; Subalgebra; Polynomial; SAGBI basis; LAGBI basis; Lower semigroup; Mathematics and Statistics;

    Sammanfattning : In this text, we study almost monomial subalgebras using LAGBI bases. We introduce the concept of a LAGBI base and present an algorithm for computing them. We then use this algorithm to find, and present in a table, all polynomial subalgebras with Frobenius number smaller than or equal to ten. LÄS MER

  3. 2. Perron-Frobenius' Theory and Applications

    Kandidat-uppsats, Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Författare :Karl Eriksson; [2023]
    Nyckelord :Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Sammanfattning : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. LÄS MER

  4. 3. Perron–Frobenius theorem and Z≥0[S3]-semimodules

    Master-uppsats, Uppsala universitet/Algebra, logik och representationsteori

    Författare :Mikolaj Cuszynski-Kruk; [2022]
    Nyckelord :;

    Sammanfattning : In this thesis, the Perron–Frobenius theorem which in its most general formstates that the spectral radius of a non-negative real square matrix is an eigenvaluewith a non-negative eigenvector, is proven. Related properties arederived, in particular the Collatz–Wielandt formula and a general form of anon-negative idempotent matrices. LÄS MER

  5. 4. On Frobenius Theorem and Classication of 2-Dimensional Real Division Algebras

    Kandidat-uppsats, Uppsala universitet/Algebra och geometri

    Författare :Mikolaj Cuszynski-Kruk; [2020]
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  7. 5. Construction of Two-Dimensional Topological Field Theories

    Kandidat-uppsats, Uppsala universitet/Teoretisk fysik

    Författare :Hans Nguyen; [2015]
    Nyckelord :topological field theories; TQFT; TFT; cobordism; Frobenius algebra;

    Sammanfattning : In this thesis I thoroughly review the construction of topological quantum field theories (TQFT), with particular emphasis on the two dimensional examples. In the first part of the thesis, we consider the mathematical foundations of TQFT's by introducing notions such as categories, cobordisms and Frobenius algebras. LÄS MER