Search for dissertations about: "Noncommutative algebra"

Showing result 1 - 5 of 13 swedish dissertations containing the words Noncommutative algebra.

  2. 1. The Noncommutative Geometry of Real Calculi

    Author : Axel Tiger Norkvist; Joakim Arnlind; Vladimir Tkatjev; Stefan Wagner; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Noncommutative geometry extends the traditional connections between algebra and geometry beyond the realm of commutative algebras, allowing for a broader exploration of geometric concepts in noncommutative settings. The geometric perspective facilitates the study and understanding of various mathematical structures, including operator algebras, quantum groups, and noncommutative spaces. READ MORE

  4. 2. Noncommutative Riemannian Geometry of Twisted Derivations

    Author : Kwalombota Ilwale; Joakim Arnlind; Sergei Silvestrov; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : A twisted derivation is a generalized derivative satisfying a twisted version of the ordinary Leibniz rule for products. In particular, a (σ, τ )-derivation on an algebra A, is a derivation where Leibniz rule is twisted by two endomorphisms σ and τ on A. READ MORE

  5. 3. Morphisms of real calculi from a geometric and algebraic perspective

    Author : Axel Tiger Norkvist; Joakim Arnlind; Stefan Wagner; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; noncommutative geometry; embeddings; matrix algebras; real calculi; morphisms; free module; projective module;

    Abstract : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. READ MORE

  6. 4. Reordering in Noncommutative Algebras, Orthogonal Polynomials and Operators

    Author : John Musonda; Sergei Silvestrov; Sten Kaijser; Johan Richter; Viktor Abramov; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : The main object studied in this thesis is the multi-parametric family of unital associative complex algebras generated by the element $Q$ and the finite or infinite set $\{S_j\}_{j\in J}$ of elements satisfying the commutation relations $S_jQ=\sigma_j(Q)S_j$, where $\sigma_j$ is a polynomial for all $j\in J$. A concrete representation is given by the operators $Q_x(f)(x)=xf(x)$ and $\alpha_{\sigma_j}(f)(x)=f(\sigma_j(x))$ acting on polynomials or other suitable functions. READ MORE

  7. 5. Formal Languages and Automata in Computational Algebra

    Author : Jonas Månsson; Algebra; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; control; Datalogi; Talteori; algebraisk geometri; algebra; gruppteori; Computer science; numerical analysis; systems; group theory; field theory; algebraic geometry; finite automata; Number Theory; Gröbner bases; SAGBI bases; numerisk analys; system; kontroll; fältteori;

    Abstract : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. READ MORE