Essays about: "Frobenius algebra"

Found 5 essays containing the words Frobenius algebra.

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

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

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

    Abstract : 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. READ MORE

  3. 2. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : 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;

    Abstract : 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. READ MORE

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

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Mikolaj Cuszynski-Kruk; [2022]
    Keywords : ;

    Abstract : 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. READ MORE

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

    University essay from Uppsala universitet/Algebra och geometri

    Author : Mikolaj Cuszynski-Kruk; [2020]
    Keywords : ;

    Abstract : .... READ MORE

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

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Hans Nguyen; [2015]
    Keywords : topological field theories; TQFT; TFT; cobordism; Frobenius algebra;

    Abstract : 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. READ MORE