Results 101 to 110 of about 16,878 (163)
Endomorphisms of words in a quiver
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Noncommutative gauge theories with Endomorphism algebras [PDF]
27 PagesWe formulate a Yang-Mills action principle for noncommutative connections on an endomorphism algebra of a vector bundle. It is shown that there is an influence of the topology of the vector bundle onto the structure of the vacuums of the theory ...
Sérié, Emmanuel
core
Supersingular Endomorphism Rings: Algorithms and Applications [PDF]
This thesis is about the endomorphism rings of supersingular elliptic curves, their applications in cryptography, and related algorithms. These algorithms and applications all involve an interplay between supersingular elliptic curves and quaternion ...
Eriksen, Jonathan Komada
core
Endomorphism Algebras of Equivariant Exceptional Collections [PDF]
Given an action of a finite group on a triangulated category with a suitable strong exceptional collection, a construction of Elagin produces an associated strong exceptional collection on the equivariant category.
Krug, Andreas, Nikolov, Erik
core +1 more source
The supersingular endomorphism ring problem given one endomorphism [PDF]
Given a supersingular elliptic curve $E$ and a non-scalar endomorphism $\alpha$ of $E$, we prove that the endomorphism ring of $E$ can be computed in classical time about $\text{disc}(\mathbb{Z}[\alpha])^{1/4}$ , and in quantum subexponential time ...
Benjamin Wesolowski +1 more
core
On PP-Endomorphism Rings [PDF]
AbstractA characterization is given of when all kernels (respectively images) of endomorphisms of a module are direct summands, a necessary condition being that the endomorphism ring itself is a left (respectively right) PP-ring. This result generalizes theorems of Small, Lenzing and Colby-Rutter and shows that R is left hereditary if and only if the ...
W. K. Nicholson
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Orientations and the supersingular endomorphism ring problem [PDF]
International audienceWe study two important families of problems in isogenybased cryptography and how they relate to each other: computing the endomorphism ring of supersingular elliptic curves, and inverting the action of class groups on oriented ...
B. Wesolowski
semanticscholar +3 more sources
Endomorphism Spectra of Double-Edge Fan Graphs [PDF]
There are six classes of endomorphisms for a graph. The sets of these endomorphisms form a chain under the inclusion of sets. In order to systematically study these endomorphisms, Böttcher and Knauer defined the concepts of the endomorphism spectrum
Hailong Hou
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