Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"affine group"”.
-
Cohomology Jumping Loci and the Relative Malcev Completion
… invariants used to study the fundamental group of the complement X of a hyperplane arrangement are the Malcev completion of its fundamental group G and the cohomology groups of X with coefficients in rank one local systems. In this thesis, we develop a tool that unifies these two …
-
Stable characters for symmetric groups and wreath products
Given a Hopf algebra R, the Grothendieck group of C = R-mod inherits the structure of a ring. We define a ring [mathematical equation]), which is "the [mathematical equation] limit" of the Grothendieck rings of modules for the wreath products [mathematical equation]; it is the Grothendieck group of …
-
On groups with few 𝑝′-character degrees
Seitz’s theorem asserts that a finite group has exactly one non-linear irreducible character of degree greater than one if and only if the group is either an extraspecial 2-group or the group is isomorphic to a one-dimensional affine group over some field. An extension of Seitz’s theorem is …
-
On Lie Theory in the Verlinde Category
… of a representation category of a finite group A famous theorem of Deligne states that, in characteristic p = 0, any symmetric tensor category of moderate growth is essentially a representation category of an affine supergroup scheme. This is not true in positive characteristic, with the …
-
On Boolean functions, symmetric cryptography and algebraic coding theory
… operation is related to a different copy of the affine group. So, our block cipher could be affine with respect to one of these hidden sums. We show conditions on the S-box able to prevent a type of trapdoors based on hidden sums, in particular we introduce the notion of Anti-Crooked function. …
-
Symmetries in algebraic Property Testing
… property of being invariant under a 2-transitive group of permutations do not necessarily imply testing. On the positive side, we exhibit a large class of codes whose duals possess a strong structural property ('the single orbit property'). Namely, they can be specified by a single codeword of …
-
Development of Methods for Structure and Function Determination in Living and Fixated Cells on the Single-Molecule Level Based on Coincidence Analysis and Spectrally-Resolved Fluorescence Lifetime Imaging Microscopy [SFLIM]
… and quantum dots by the introduction of an affine group at the dye. It could be shown that the antibodies selectively bind to their targets and first experiments with these probes towards the success of the experiment could be initiated.
-
Gradings of Lie Algebras
… This leads to an investigation of the Weyl group associated to a root system. This work allows us to describe how one can uniquely extend isomorphisms between root systems to isomorphisms between Lie algebras to which those root systems correspond. We are then able to describe the special …
-
Zero Divisors, Group Von Neumann Algebras and Injective Modules
… of the generalized Wyle-Heisenberg group in 𝑛² dimensions and its relations with Gabor's question from Gabor Analysis in the light of the time-frequency equation. We study the zero divisor conjecture in relation to the reduced 𝐶*-algebras and operator norm 𝐶*-algebras. For certain …