Sökning: "noncommutative geometry"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden noncommutative geometry.

1. 1. Morphisms of real calculi from a geometric and algebraic perspective

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

   Sammanfattning : 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. LÄS MER

3. 2. Universal algebraic structures on polyvector fields

   Författare :Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

   Sammanfattning : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. LÄS MER

4. 3. Strings, Conformal Field Theory and Noncommutative Geometry

   Författare :Keizo Matsubara; Anton Alekseev; Edwin Langmann; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Theoretical physics; Theoretical physics; String theory; Conformal field theory; Noncommutative geometry; Star-products; Teoretisk fysik; Physics; Fysik;

   Sammanfattning : This thesis describes some aspects of noncommutative geometry and conformal field theory. The motivation for the investigations made comes to a large extent from string theory. This theory is today considered to be the most promising way to find a solution to the problem of unifying the four fundamental interactions in one single theory. LÄS MER

5. 4. The Noncommutative Geometry of Real Calculi

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

   Sammanfattning : 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. LÄS MER

7. 5. Noncommutative Riemannian Geometry of Twisted Derivations

   Författare :Kwalombota Ilwale; Joakim Arnlind; Sergei Silvestrov; Linköpings universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : 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. LÄS MER