Sökning: "non-commutative algebras"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden non-commutative algebras.

1. 1. Centra of Quiver Algebras

   Författare :Elin Gawell; Christian Gottlieb; Qimh Xantcha; Jan Snellman; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quiver; algebra; commutativity ideal; anti-commutativity ideal; non-commutative; partly commutative; partly anti-commutative; center; Koszul algebra; finitely generated; graded center; Hochschild cohomology; support variety; associative algebra; Mathematics; matematik;

   Sammanfattning : A partly (anti-)commutative quiver algebra is a quiver algebra bound by an (anti-)commutativity ideal, that is, a quadratic ideal generated by monomials and (anti-)commutativity relations. We give a combinatorial description of the ideals and the associated generator graphs, from which one can quickly determine if the ideal is admissible or not. LÄS MER

3. 2. Dynamical Systems and Commutants in Non-Commutative Algebras

   Författare :Alex Behakanira Tumwesigye; Sergei Silvestrov; Johan Richter; Linus Carlsson; Olga Liivapuu; Mälardalens högskola; []
   Nyckelord :Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : This thesis work is about commutativity which is a very important topic in Mathematics, Physics, Engineering and many other fields. In Mathematics, it is well known that matrix multiplication (or composition of linear operators on a finite dimensional vector space) is not always commutative. LÄS MER

4. 3. On one-dimensional dynamical systems and commuting elements in non-commutative algebras

   Författare :Alex Behakanira Tumwesigye; Sergei Silvestrov; Johan Richter; Linus Carlsson; Viktor Abramov; Mälardalens högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Commutativity; dynamical systems; commutant; Mathematics Applied Mathematics; matematik tillämpad matematik;

   Sammanfattning : This thesis work is about commutativity which is a very important topic in mathematics, physics, engineering and many other fields. Two processes are said to be commutative if the order of "operation" of these processes does not matter. LÄS MER

5. 4. BV-algebras in topology and homotopy algebra

   Författare :Kaj Börjeson; Alexander Berglund; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

   Sammanfattning : This Licentiate thesis consists of two papers. The first paper is called A-infinity-algebras derived from associative algebras with a non-derivation differential. The second paper is joint work with A. Berglund and is called Free loop space homology of highly connected manifolds. LÄS MER

7. 5. Canonical Bases for Algebraic Computations

   Författare :Patrik Nordbeck; Algebra; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

   Sammanfattning : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. LÄS MER