Essays about: "Partially ordered sets"

Found 3 essays containing the words Partially ordered sets.

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. From Relations to Simplicial Complexes: A Toolkit for the Topological Analysis of Networks

   University essay from KTH/Matematik (Avd.)

   Author : Johan Lord; [2021]
   Keywords : applied algebraic topology; complex networks; topological data analysis; brain network analysis;

   Abstract : We present a rigorous yet accessible introduction to structures on finite sets foundational for a formal study of complex networks. This includes a thorough treatment of binary relations, distance spaces, their properties and similarities. READ MORE

4. 3. Extension and Evaluation of Routing with Hints in NetInf Information-Centric Networking

   University essay from KTH/Skolan för informations- och kommunikationsteknik (ICT)

   Author : Christos-Christodoulos Tsakiroglou; [2014]
   Keywords : ;

   Abstract : Content distribution is the main driver for Internet traffic growth. The traditional networking approach, focused on communication between hosts, cannot efficiently cope with the evolving problem. READ MORE