Sökning: "Graded algebras"

Visar resultat 1 - 5 av 20 avhandlingar innehållade orden Graded algebras.

1. 1. Around minimal Hilbert series problems for graded algebras

   Författare :Lisa Nicklasson; Samuel Lundqvist; Christian Gottlieb; Uwe Nagel; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Graded algebras; Hilbert series; Lefschetz properties; Exterior algebra; Linear resolution; Mathematics; matematik;

   Sammanfattning : The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's graded compontents. It can be seen as a tool for measuring the size of a graded algebra. This gives rise to the idea of algebras with a "minimal Hilbert series", among the algebras within a certain family. LÄS MER

3. 2. 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

4. 3. Computational algorithms for algebras

   Författare :Samuel Lundqvist; Clas Löfwall; Ralf Fröberg; H. Michael Möller; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

   Sammanfattning : This thesis consists of six papers. In Paper I, we give an algorithm for merging sorted lists of monomials and together with a projection technique, we obtain a new complexity bound for the Buchberger-Möller algorithm and the FGLM algorithm. LÄS MER

5. 4. The structure of epsilon-strongly graded rings with applications to Leavitt path algebras and Cuntz-Pimsner rings

   Författare :Daniel Lännström; Johan Öinert; Stefan Wagner; Patrik Nystedt; Eduard Ortega; Blekinge Tekniska Högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; group graded ring; epsilon-strongly graded ring; chain conditions; Leavitt path algebra; partial crossed product; Cuntz-Pimsner rings;

   Sammanfattning : The research field of graded ring theory is a rich area of mathematics with many connections to e.g. the field of operator algebras. In the last 15 years, algebraists and operator algebraists have defined algebraic analogues of important operator algebras. LÄS MER

7. 5. Dualities, affine vertex operator algebras, and geometry of complex polynomials

   Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

   Sammanfattning : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. LÄS MER