Results 301 to 310 of about 13,417,881 (325)

A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits. [PDF]

open access: yesNat Commun
Ragone M   +6 more
europepmc   +1 more source

Blind Schnorr Signatures and Signed ElGamal Encryption in the Algebraic Group Model

International Conference on the Theory and Application of Cryptographic Techniques, 2020
The Schnorr blind signing protocol allows blind issuing of Schnorr signatures, one of the most widely used signatures. Despite its practical relevance, its security analysis is unsatisfactory.
Georg Fuchsbauer   +2 more
semanticscholar   +1 more source

On Instantiating the Algebraic Group Model from Falsifiable Assumptions

IACR Cryptology ePrint Archive, 2020
We provide a standard-model implementation (of a relaxation) of the algebraic group model (AGM, [Fuchsbauer, Kiltz, Loss, CRYPTO 2018]). Specifically, we show that every algorithm that uses our group is algebraic, and hence “must know” a representation ...
Thomas Agrikola, D. Hofheinz, J. Kastner
semanticscholar   +1 more source

Algebraic Group Analogues of the Slodowy Slices and Deformations of Poisson W-algebras

, 2010
We define algebraic group analogues of the Slodowy transversal slices to adjoint orbits in a complex semisimple Lie algebra . The new slices are transversal to the conjugacy classes in an algebraic group G with Lie algebra .
A. Sevostyanov
semanticscholar   +1 more source

Algebraic group actions on noncommutative spectra

, 2008
Let G be an affine algebraic group and let R be an associative algebra with a rational action of G by algebra automorphisms. We study the induced G-action on the set Spec R of all prime ideals of R, viewed as a topological space with the Jacobson–Zariski
M. Lorenz
semanticscholar   +1 more source

On the Stability of the Action of AN Algebraic Group on AN Algebraic Variety

, 1972
We prove the following fact: if a connected algebraic group having no rational characters acts regularly on a normal irreducible algebraic variety with periodic divisor class group , then for the orbit of a point in general position to be closed, it is ...
V. Popov
semanticscholar   +1 more source

AFFINE SURFACES WHICH ARE QUASIHOMOGENEOUS WITH RESPECT TO AN ALGEBRAIC GROUP

, 1971
In this paper we give a classification of affine surfaces which are quasihomogeneous with respect to an algebraic group. In particular, we also obtain a classification of affine surfaces which are homogeneous with respect to an algebraic group.
M. Gizatullin
semanticscholar   +1 more source

CLASSIFICATION OF AFFINE ALGEBRAIC SURFACES THAT ARE QUASIHOMOGENEOUS WITH RESPECT TO AN ALGEBRAIC GROUP

, 1973
We find all the affine algebraic surfaces that admit a quasitransitive algebraic group of biregular automorphisms (i.e. a group such that the complement of one orbit of the action is either empty or of dimension zero).
V. Popov
semanticscholar   +1 more source

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