Essays about: "Path algebra"

Showing result 1 - 5 of 8 essays containing the words Path algebra.

  1. 1. The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Mika Norlén Jäderberg; [2023]
    Keywords : Algebras; Finite-dimensional; Partially ordered sets; Modules; Quasi-hereditary; Ext-algebra; Schur algebra; Quiver; Path algebra; Categories; Morita equivalence; Yoneda product; Standard module; Homological algebra; Cohomology; Anick Chains;

    Abstract : Quasi-hereditary algebras are an important class of algebras with many appli-cations in representation theory, most notably the representation theory of semi-simple complex Lie-algebras. Such algebras sometimes admit an exact Borel sub-algebra, that is a subalgebra satisfying similar formal properties to the Borel sub-algebras from Lie theory. READ MORE

  3. 2. Language Theoretic Properties of Graph Extension Languages : An Investigation of Graph Extension Grammars with Context Matching and Logic

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Yannick Stade; [2022]
    Keywords : graph language; formal language; theoretical computer science;

    Abstract : Graph extension grammars provide a way to define graph languages. They consist of a regular tree grammar and an algebra. The regular tree grammar generates trees, so-called derivation trees. Those are evaluated by the algebra into a set of graphs. READ MORE

  4. 3. Upper bounds for the star chromatic index of multipartite graphs

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

    Author : Gabriel Sparrman; [2022]
    Keywords : Graph; Graph theory; Multipartite Graph; Graph Coloring; Star edge coloring; Star chromatic index;

    Abstract : A star edge coloring is any edge coloring which is both proper and contains no cycles or path of length four which are bicolored, and the star chromatic index of a graph is the smallest number of colors for which that graph can be star edge colored. Star edge coloring is a relatively new field in graph theory, and very little is known regarding upper bounds of the star chromatic index of most graph types, one of these families being multipartite graphs. READ MORE

  5. 4. Equivariant Mathai-Quillen Formalism

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Yu Hao; [2021]
    Keywords : ;

    Abstract :  Equivariant localization is a technique can be used to reduce the dimensionality of integral for the manifold with a Lie group action on. Such technique can beapplied to simply the calculation of path integral with certain type of symmetries. READ MORE

  6. 5. A GIS-Based Method of Deriving Spatially Distributed Unit Hydrographs

    University essay from KTH/Hållbar utveckling, miljövetenskap och teknik

    Author : Ann-Sofi Lenander; [2021]
    Keywords : the unit hydrograph; GIS; ArcPy; design storm; SCS-CN method; spatial data; excess rainfall; enhetshydrografen; GIS; Arcpy; design regn; SCS-CN metoden; geodata; effektivt regn;

    Abstract : Prior to using hydraulic and spatially distributed modelling softwares, the theory of the unit hydrograph was a commonly used tool for modelling of surface and runoff water. While distributed models often provide detailed results from extensive calculation durations, the unit hydrograph have been questioned for simplifying the physical characteristics of the watershed modelled. READ MORE