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Fiat-Shamir Bulletproofs are Non-Malleable (in the Algebraic Group Model)

International Conference on the Theory and Application of Cryptographic Techniques, 2022
Chaya Ganesh   +4 more
semanticscholar   +1 more source

An Analysis of the Algebraic Group Model

IACR Cryptology ePrint Archive, 2022
Jonathan Katz   +2 more
semanticscholar   +1 more source

Derivations on Group Algebras

Proceedings of the London Mathematical Society, 2000
Let \(G\) be a locally compact group, \(L^1(G)\) the convolution algebra of integrable functions and \(M(G)\) the convolution algebra of regular Borel measures on \(G\). Convolution with \(L^1\)-functions makes \(M(G)\) an \(L^1(G)\)-bimodule. It is a natural question of whether every continuous derivation from \(L^1(G)\) into \(M(G)\) is an inner ...
Ghahramani, Fereidoun   +2 more
openaire   +1 more source

Centroids of algebraic groups

Algebra and Logic, 2012
The author looks at connections between two known analogs of the concept of a ring centroid in the class of algebraic groups.
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The algebra of group kinship

Journal of Mathematical Psychology, 1969
Group theory and the theory of relations are used to study the kinship of certain kinds of primitive societies. It will be shown that these societies partition their members into classes that are permuted by the relations “class X has fathers (mothers) in class Y” so as to form a regular permutation group.
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On Pairing-Free Blind Signature Schemes in the Algebraic Group Model

IACR Cryptology ePrint Archive, 2020
Julia Kastner   +3 more
semanticscholar   +1 more source

Skew group algebras and their Yoneda algebras

Mathematical Journal of Okayama University, 2001
The paper is almost self contained, some necessary statements are reviewed. The nature of the work is such that in some parts there are various isomorphisms and rings to deal with. The two principal theorems of the paper are the following: Theorem 13.
openaire   +3 more sources

Real group algebras

2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EBADIAN, A., MEDGHALCHI, A. R.
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Tight State-Restoration Soundness in the Algebraic Group Model

IACR Cryptology ePrint Archive, 2020
Ashrujit Ghoshal, Stefano Tessaro
semanticscholar   +1 more source

On Homomorphisms of Group Algebras

American Journal of Mathematics, 1960
Introduction. There have been several papers written on the subject of determining all homomorphisms, and more particularly, isomorphisms of group algebras of locally compact abelian groups. Except in certain special cases there does not seem to be much known.
openaire   +1 more source

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