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Production Engineering Archives, 2022 A thriving healthcare system perfectly reflects economic development and contentment amongst the people of any region. With increasing anxiety concering health and growing medical needs, hospitals worldwide face substantial challenge to provide patients ...
Dev Manimay, Kumar Dinesh, Mor Rahul S.
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Conjugacy theorems for loop reductive group schemes and Lie algebras [PDF]
, 2014 The conjugacy of split Cartan subalgebras in the finite dimensional simple case (Chevalley) and in the symmetrizable Kac-Moody case (Peterson-Kac) are fundamental results of the theory of Lie algebras. Among the Kac-Moody Lie algebras the affine algebras
A Borel +21 more
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Essential dimension and pro-finite group schemes
, 2021 A. Vistoli observed that, if Grothendieck's section conjecture is true and $X$ is a smooth hyperbolic curve over a field finitely generated over $\mathbb{Q}$, then $\underline{\pi}_{1}(X)$ should somehow have essential dimension $1$.
Bresciani, Giulio
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Constructions for infinitesimal group schemes [PDF]
Transactions of the American Mathematical Society, 2011 55 pages. This is a final version to appear in Transactions of the AMS. Significantly revised from the original preprint.
Friedlander, Eric M., Pevtsova, Julia
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A Survey on Group Key Management Schemes
Cybernetics and Information Technologies, 2015 Cryptographic key management needs utmost security in generating, exchanging, using, rekeying, storing of keys, being used for communication purposes. Successful key management is critical to the security of a cryptosystem. This paper presents a detailed
Seetha R., Saravanan R.
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IET Information Security, 2021 Three closely related polynomial‐based group key pre‐distribution schemes have recently been proposed, aimed specifically at wireless sensor networks.
Chris J Mitchell
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Quasi-linear analysis of dispersion relation preservation for nonlinear schemes
Advances in Aerodynamics, 2022 In numerical simulations of complex flows with discontinuities, it is necessary to use nonlinear schemes. The spectrum of the scheme used has a significant impact on the resolution and stability of the computation.
Fengyuan Xu +3 more
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Brauer groups of Quot schemes [PDF]
Michigan Mathematical Journal, 2015 Let $X$ be an irreducible smooth complex projective curve. Let ${\mathcal Q}(r,d)$ be the Quot scheme parametrizing all coherent subsheaves of ${\mathcal O}^{\oplus r}_X$ of rank $r$ and degree $-d$. There are natural morphisms ${\mathcal Q}(r,d) \longrightarrow \text{Sym}^d(X)$ and $\text{Sym}^d(X) \longrightarrow \text{Pic}^d(X)$.
Biswas, Indranil +2 more
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Secure Obfuscation for Encrypted Group Signatures. [PDF]
PLoS ONE, 2015 In recent years, group signature techniques are widely used in constructing privacy-preserving security schemes for various information systems. However, conventional techniques keep the schemes secure only in normal black-box attack contexts.
Yang Shi +3 more
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Journal of the Institute of Mathematics of JussieuAbstractWe initiate a systematic study of the perfection of affine group schemes of finite type over fields of positive characteristic. The main result intrinsically characterises and classifies the perfections of reductive groups and obtains a bijection with the set of classifying spaces of compact connected Lie groups topologically localised away ...
Kevin Coulembier, Geordie Williamson
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