Results 21 to 30 of about 53,079 (211)
Counting stabiliser codes for arbitrary dimension [PDF]
Quantum, 2023 In this work, we compute the number of $[[n,k]]_d$ stabilizer codes made up of $d$-dimensional qudits, for arbitrary positive integers $d$. In a seminal work by Gross \cite{Gross2006} the number of $[[n,k]]_d$ stabilizer codes was computed for the case ...
Tanmay Singal +5 more
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A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [PDF]
Categories and General Algebraic Structures with Applications, 2016 This paper is a chronological survey, with no proofs, of a direction in categorical algebra, which is based on categorical Galois theory and involves generalized central extensions, commutators, and internal groupoids in Barr exact Mal’tsev and more ...
George Janelidze
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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
Forum of Mathematics, Sigma, 2019 Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
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International Journal of Mathematics and Mathematical Sciences, 2001 Given a tame Galois branched cover of curves π:X→Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula
Amy E. Ksir
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Some fascinating developments in mathematics and music
Proceedings (European Academy of Sciences and Arts), 2022 The strength of the bonds between music and mathematics goes without saying. This popular belief hides a subtler misconception, that this relationship involves old-school mathematics: arithmetics in the Greek School (Pythagoras), diophantine ...
Emmanuel Amiot
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Curves with more than one inner Galois point
, 2020 Let $\mathcal{C}$ be an irreducible plane curve of $\text{PG}(2,\mathbb{K})$ where $\mathbb{K}$ is an algebraically closed field of characteristic $p\geq 0$.
Korchmáros, Gábor +2 more
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Efficiency of sequence synthesis methods with the «not more than one coincidence» property
Tekhnologiya i Konstruirovanie v Elektronnoi Apparature, 2016 The author presents an expression for determining the minimum possible length of binary sequences with "not more than one coincidence" property. Obtained low bound length value allows quantitatively estimating efficiency of any known synthesis methods ...
A. I. Nevrev, O. N. Galchenkov
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Seven Small Simple Groups Not Previously Known to Be Galois Over
Mathematics, 2022 In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait +2 more
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, 2017 In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.Comment ...
Dreyfus, Thomas
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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