Results 51 to 60 of about 24,029 (191)

On properties of principal elements of Frobenius Lie algebras [PDF]

, 2014
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core  

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Noise Free Fully Homomorphic Encryption Scheme Over Non-Associative Algebra

IEEE Access, 2020
Among several approaches to privacy-preserving cryptographic schemes, we have concentrated on noise-free homomorphic encryption. It is a symmetric key encryption that supports homomorphic operations on encrypted data.
Iqra Mustafa, Hasnain Mustafa, Ahmad Taher Azar, Sheraz Aslam, Syed Muhammad Mohsin, Muhammad Bilal Qureshi, Nouman Ashraf   +6 more
doaj   +1 more source

Central Invariants and Higher Indicators for Semisimple Quasi-Hopf Algebras

, 2005
In this paper, we define the higher Frobenius-Schur (FS-)indicators for finite-dimensional modules $V$ of a semisimple quasi-Hopf algebra $H$ via the categorical counterpart developed in \cite{NS05}.
Ng, Siu-Hung, Schauenburg, Peter
core   +1 more source

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

Topological Frobenius algebras

, 2022
We define the notions of unital/counital/biunital infinitesimal anti-symmetric bialgebras and coFrobenius bialgebras and discuss their algebraic properties. We also define the notion of a graded 2D open-closed TQFT. These structures arise in Rabinowitz Floer homology, loop space homology, quantum homology, and the homology of finite dimensional ...
Cieliebak, Kai, Oancea, Alexandru
openaire   +2 more sources

Strategic Influencers and the Shaping of Beliefs

The RAND Journal of Economics, EarlyView.
ABSTRACT Influencers, from propagandists to sellers, expend vast resources targeting agents who amplify their message through word‐of‐mouth communication. While agents differ in network position, they also differ in their bias: Agents may naturally read articles with a particular slant or buy products from a certain seller.
Akhil Vohra
wiley   +1 more source

Picard group of dual categories [PDF]

Categories and General Algebraic Structures with Applications
We provide an explicit description of the Picard group (the group of isomorphism classes of invertible objects, those that have an inverse under the tensor product) of the dual category of the category of comodules over a supergroup algebra, by using the
Adriana Mejía Castaño
doaj   +1 more source

On algebraic structures of the Hochschild complex [PDF]

, 2015
We first review various known algebraic structures on the Hochschild (co)homology of a differential graded algebras under weak Poincar{\'e} duality hypothesis, such as Calabi-Yau algebras, derived Poincar{\'e} duality algebras and closed Frobenius ...
Abbaspour, Hossein
core   +2 more sources

Singularities of locally acyclic cluster algebras

, 2014
We show that locally acyclic cluster algebras have (at worst) canonical singularities. In fact, we prove that locally acyclic cluster algebras of positive characteristic are strongly F-regular.
Benito, Angélica, Muller, Greg, Rajchgot, Jenna, Smith, Karen E.   +3 more
core   +1 more source