Essays about: "Poset"

Found 4 essays containing the word Poset.

  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. A Study on Poset Probability

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

    Author : Albin Jaldevik; [2022]
    Keywords : Discrete mathematics; Order theory; Combinatorics; Partially ordered set; Poset; Linear extension; Topological sorting; Probability; Partition; Young diagram;

    Abstract : Let be a finite poset (partially ordered set) with cardinality . A linear extension of is an order-preserving bijection : , that is, if in then . We define the poset probability as the proportion of linear extensions where . We are primarily interested in for incomparable elements . READ MORE

  4. 3. AUV SLAM constraint formation using side scan sonar

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Marco Schouten; [2022]
    Keywords : AUV; Side Scan Sonar; Pose Estimation; SLAM; Optimisation; AUV; Side Scan Sonar; Pose Estimation; SLAM; Optimisation;

    Abstract : Autonomous underwater vehicle (AUV) navigation has been a challenging problem for a long time. Navigation is challenging due to the drift present in underwater environments and the lack of precise localisation systems such as GPS. Therefore, the uncertainty of the vehicle’s pose grows with the mission’s duration. READ MORE

  5. 4. Partizan Poset Games

    University essay from KTH/Matematik (Avd.)

    Author : Fredrik Wahlberg; [2014]
    Keywords : ;

    Abstract : This thesis analyzes a class of element-removal partizan games played on colored posets. In these games a player moves by removing an element of its color together with all greater elements in the poset. A player loses if it has no elements left to remove. READ MORE