Algebraic group
Tight Reductions for Diffie-Hellman Variants in the Algebraic Group Model
... [EHK + 17] Alex Escala, Gottfried Herold, Eike Kiltz, Carla R` afols, and Jorge Luis Villar. An algebraic framework for Diffie-Hellman assumptions. J. Cryptology, 30(1):242–288, 2017. [FKL18] Georg Fuchsbauer, Eike ...
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Irreducible Representations of Algebraic Group SL(6,K) in charK =3
... simple algebraic group of type A 5 over an algebraically closed field K of characteristic ...character group of T , which is also called the weight lattice of G with respect to T ...
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Invariants and separating morphisms for algebraic group actions
... the algebraic setting where we work over an algebraically closed field k , we can often reduce a classification problem to the following general ...an algebraic variety X representing the objects, and an ...
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The irreducible subgroups of exceptional algebraic groups
... We start by explaining how to read Tables 1–5. Let G be a simple exceptional algebraic group. Each table is broken into sections, divided by pairs of horizontal lines, and within each section there are ...
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Commuting Involutions of SL(n,k)
... reductive algebraic group over algebraically closed fields (of characteristic not two) is given in [Hel88], a classification of single k-involutions of a connected, reductive algebraic group ...
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Signalizers in groups of Lie type
... a group K of Lie type are further divided into two types, so-called equal rank type and parabolic ...the algebraic group K which induces x on K as in Lemma ...
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International Journal of Emerging Technology and Advanced Engineering
... Since Algebraic Groups are groups defined by Polynomials. As the group of Matrices of Determinant one is an algebraic ...group. Algebraic Groups play a vital role in most branches of ...
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4779.pdf
... To determine the eigencone for an arbitrary semisimple connected complex algebraic group G, the Grassmannian is replaced with the homogeneous space G/P , where P is a maximal parabolic subgroup. A necessary ...
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On the Isomorphy Classes of Involutions over SO(2n, k)
... (or algebraic groups) and the (generalized) symmetric spaces obtained from ...involves group theory, field theory, linear algebra, and Lie algebras, as well as involving the related disciplines of topology, ...
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First cohomology groups for finite groups of Lie type in defining characteristic
... Weyl group W (Φ) of the root system Φ of ...semisimple algebraic group defined over a field of characteristic p, then there is a prime p 0 such that for all p ≥ p 0 a ...
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The Equivalence Problem and Signatures of Algebraic Curves.
... an algebraic curve as well as study the application of signature curves to deciding whether a planar curve is the image of a given spatial curve under a central or parallel ...computational algebraic ...
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Inertial properties in groups
... The goal of this paper is to give an overview of up-to-date known results, as well as some new ones, and show how some applications of the concept of inert subgroup fit in the same picture even if they arise in different ...
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Algebraic conversions
... One approach for attempting reconciliation of pure mathematics and the pragmatic art of automated computation is to build correct models of the pure algebraic structures [5]. While this approach is viable and even ...
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On new multivariate cryptosystems with nonlinearity gap
... One of the first usage of non bijective map of multivariate cryptography was in oil and vinegar cryptosystem proposed in [6] and analysed in [7]. Nowadays this general idea is strongly supported by a publication [8] ...
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Algebraic covers
... I thank everyone from the Department of mathematics in Coimbra where part of the thesis was written and I started learning mathematics. A special thanks to Jorge Neves for introducing me to Algebraic Geometry and ...
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Group-like algebraic structures of fuzzy topographic topological mapping for solving neuromagnetic inverse problem
... are algebraic structures. Therefore algebraic structures are systems of coordinatizing ...an algebraic structure or a set may has an algebraic ...an algebraic structure (Burton, 1965). ...
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On The Algebraic Lattices
... Note that, even though a frame is necessarily a distributive lattice, it may not be algebraic. For, consider the example given below. Example 4.2.:- The interval of real numbers is a frame and not an ...
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Building Web Interfaces for Vector Semantic Models with the WebVectors Toolkit
... apply algebraic operations to word vectors: addition, subtraction, finding average vector for a group of words (results are returned as lists of words nearest to the product of the operation and their ...
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Arithmetic Teichmuller Theory
... where x⊥y means that x and y commute. For g ≥ 3 genus, Dehn 1938 [5] , Lickorish 1965 [15] , Hatcher and Thurston 1980 [9] , Wajnryb 1983 [30] , gave presentations of the mapping class group. In all these ...
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On algebraic geometry over completely simple semigroups
... Many problems of semigroup theory are reduced to the similar problems of group theory. This approach is often used for completely simple (c.s.) semigroups, since any c.s. semigroup G is isomorphic to a disjoint ...
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