Algebraic groups
A performance improved certificateless key agreement scheme over elliptic curve based algebraic groups
... A subset of recent Certificateless Key Agreement protocols over Elliptic Curve based algebraic groups are reviewed in this section. The main feature of Pairing- free protocols is that the better performance ...
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The irreducible subgroups of exceptional algebraic groups
... tional algebraic groups over algebraically closed fields of arbitrary ...semisimple algebraic group G is called irreducible if it lies in no proper parabolic subgroup of ...exceptional ...
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Tannakian Categories and Linear Differential Algebraic Groups
... We note that the categorical approach to representations of linear algebraic groups leads to the theory of Tannakian categories. This theory has found many uses and, in particular, one can develop the ...
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Simple irreducible subgroups of exceptional algebraic groups
... semisimple algebraic group is called irreducible if it lies in no proper parabolic ...exceptional algebraic groups G which are connected, closed and simple of rank at least ...
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On linear algebraic groups over pseudoglobal fields
... linear algebraic groups and of their homoge- neous spaces over totally imaginary number fields have counterparts over the fields of one of the following ...
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On the lattice automorphisms of certain algebraic groups
... of groups of Lie type , if G is a simple group of Lie type in the list (I) over the finite field k , then G arises as the subgroup generated by the unipotent elements o f the group of k-rational points of a ...
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Reducible subgroups of exceptional algebraic groups
... linear algebraic groups is a theory with applications throughout alge- bra and ...Lie groups give direct applications in geometry and ...simple groups, for instance the subgroup structure of ...
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Linear algebraic groups, with special emphasis on the classical groups
... The results here are typically taken from one of three main references, all with the title Linear Algebraic Groups, namely Borel’s ([2]), Humphreys’([6]) and Springer’s ([9]). For the most part, the proofs ...
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Isomorphy Classes of k-involutions of Algebraic Groups of Type G2 and F4.
... where ∗ is conjugation with respect to the octonion entries of x along with the transpose of the 3 × 3 matrix. We, again, spend some time building up the structure of such algebras, and how they relate to other algebras ...
191
A note on the tensor product of restricted simple modules for algebraic groups
... In this note, we determine for which group G the restriction to G1 of any indecomposable G-summand of the tensor product of any two restricted simple G-modules remains indecomposable.. K[r] ...
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On the blocks of semisimple algebraic groups and associated generalized Schur algebras
... Let G be a semisimple simply connected algebraic group over an algebraically closed field k. We are interested in the category of all G-modules. When the field k has characteristic zero, this category is ...
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Irreducible A1 subgroups of exceptional algebraic groups
... We must first explain a definition we will use throughout the paper. Let X and Y be semisimple subgroups of a semisimple algebraic group G and let V be a G-module. Then we say that X and Y have the same ...
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Problems in the representation theory of algebraic groups
... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the Degree of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/3493 This [r] ...
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Unipotent subgroups of reductive algebraic groups
... 3.3.1 Let G be a connected semisimple algebraic group of adjoint type defined over Suppose we have established the MT for an algebraically closed field of characteristic p>0... simple ad[r] ...
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Quantitative algebraic reasoning
... One of the exciting themes in research in programming language theory is the algebraic study of computational phenomena initiated by Moggi (Moggi 1988, 1991) where he showed how one can view notions of computation ...
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Algebraic Companions and Linearizations
... The algebraic linearization construction takes advantage of the factored form of the matrix polynomial by piecing together the linearization of a(λ) and b(λ) to form the linearization for ...the algebraic ...
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Algebraic Cryptanalysis of Frit
... the algebraic properties in other ways, like collision attacks [SLG17] and preimage attacks [GLS16] on round-reduced Keccak that linearize parts of its underlying ...
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Algebraic Algorithms for LWE
... with algebraic techniques to improve our under- standing of the hardness of ...applying algebraic techniques to Ring-LWE, which offers a much richer algebraic structure, is an area for future ...
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Notes on algebraic functions
... of algebraic functions is a classical branch of mathematics [6, ...7]. Algebraic functions play a very important role in the study of the integrability theory of ordinary differential equations [14, ...is ...
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An Algebraic Inequality, II
... In this article, using inequality between logarithmic mean and one-parameter mean, which can be deduced from monotonicity of the extended mean values, an integral analogue of J.. Martins[r] ...
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