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 20 of 87 for “"frobenius"”.
-
G-Frobenius manifolds
… dissertation is to introduce the notion of G-Frobenius manifolds for any finite group G. This work is motivated by the fact that any G-Frobenius algebra yields an ordinary Frobenius algebra by taking its G-invariants. We generalize this on the level of Frobenius manifolds. To define a …
-
Frobenius Brauer Categories
Given a symmetric Frobenius superalgebra A equipped with a compatible involution, we define the associated Frobenius Brauer category B(A) and affine Frobenius Brauer category AB(A), generalizing the plain Brauer category B and affine Brauer category AB. We define the orthosymplectic Lie …
-
On the higher Frobenius
… is centered around the study of the higher Frobenius map. First defined by Nikolaus and Scholze, the higher Frobenius map generalizes to E[subscript infinity]-ring spectra the classical Frobenius endomorphism for rings in characteristic p. Our main result is that there is an action of the …
-
Generalized Clifford Theory (Group Ring, Frobenius Extensions)
Let R and S be two rings with identity elements and let l : R (--->) S be a ring homomorphism preserving their identity elements. Then any S-module W can be regarded as an R-module W(,R). Also, for any right R-module V, we can form the "induced" S-Module V('S) = V (CRTIMES)(,R) S. Fixing a right …
-
Frobenius transfers and p-local finite groups
… with a stable retract t satisfying a form of Frobenius reciprocity. In the case where S is elementary abelian, we answer this question in the affirmative, by showing that under some finiteness conditions such a triple (f, t, X) does indeed induce a p-local finite group over S. We also discuss …
-
Lifts of Frobenius on Arithmetic Jet Spaces of Schemes
Lifts of Frobenius on formal schemes X over the p-adic completion of the maximal unramified extension of the p-adic integers may be viewed as arithmetic analogues of vector fields on manifolds. In particular, vector fields on the tangent bundle of a manifold, appearing for instance in Hamiltonian …
-
The design of low-order controllers using the Frobenius-Hankel norm
The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.
-
Purity of the stratification by Newton polygons and Frobenius-periodic vector bundles
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by Newton polygons coming from crystalline cohomology, which says that the family of Newton polygons over a noetherian scheme have a common break point if this is true outside a subscheme of codimension …
-
The Frobenius direct image of line bundles and the structure of representations
… image of the induced line bundles under the Frobenius morphism. I.e., $F\sb\*{\cal L}$($\lambda$). We study the homogeneous sheaf structure of $F\sb\*{\cal L}$($\lambda$) in the context of several celebrated representation theory problems. Specifically, our decomposition of the Frobenius …
-
The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
… t-structures and a detailed study of partial Frobenius. We prove in particular that the partial Frobenius extends to toroidal and minimal compactifications.
-
Limit linear series in positive characteristic and Frobenius-unstable vector bundles on curves
… yield a new proof of a result of Mochizuki Frobenius-unstable bundles for C general, and hence obtaining a self-contained proof of the resulting formula for the degree of V₂.
-
Stationary Density Computation of the Frobenius-Perron Operators Based on the Dirac Delta Function
… the computation of a nontrivial fixed point of Frobenius-Perron operators (F-P operators).</p> <p>Let <em>S</em>: [0,1] → [0,1] be a piecewise monotonic mapping, and let <em>P<sub>S</sub></em> : [0,1] → [0,1] be the Frobenius-Perron operators associated with <em>S</em>, which is defined by</p> …
-
Rationality of blocks of quasi-simple finite groups
The Morita Frobenius number of an algebra is the number of Morita equivalence classes of its Frobenius twists. Introduced by Kessar in 2004, these numbers are important in the context of Donovan's conjecture for blocks of finite group algebras. Let P be a finite ℓ-group. Donovan's conjecture states …
-
Arithmetic Properties Related to Isogeny Criteria for Elliptic Curves and Drinfeld Modules
… at most x for which E_1 and E_2 have the same Frobenius trace or Frobenius field is bounded above asymptotically by a function of x. We prove a bound with a log saving unconditionally, prove a bound with a power saving dependent on the Reimann hypothesis and generalized Reimann hypothesis, and …
-
Power operations and central maps in representation theory
… to prove that the quantum Coulomb branch is a Frobenius-constant quantization. We also demonstrate the corresponding result for the K-theoretic version of the quantum Coulomb branch. In Chapter 3, we develop the theory of parity sheaves with coefficients in the Tate spectrum, and use it to give …
-
Line Bundles on Projective Homogeneous Spaces
… subgroup schemes are extensions of B by Frobenius kernels of P. Using an algebraic analogue of the fixed point formula of Atiyah and Bott, we give a formula for the Euler character of a homogeneous line bundle on G/H generalizing Weyl's character formula. The canonical line bundle on G/H …
-
Affine Springer fibers and the representation theory of small quantum groups and related algebras
… theory of small quantum groups and Frobenius kernels and the geometry of an equivalued affine Springer fiber Fl[subscript ts] for s a regular semisimple element. In Chapter 2 we relate the center of the small quantum group with the cohomology of the above affine Springer fiber. This …
Page 1 of 5