Results 91 to 100 of about 10,174 (306)
Going down in (semi)lattices of finite Moore families and convex geometries [PDF]
In this paper we first study the changes occuring in the posets of irreducible elements when one goes from an arbitrary Moore family (respectively, a convex geometry) to one of its lower covers in the lattice of all Moore families (respectively, in the ...
Gabriela Bordalo +2 more
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Irreducible Representations of Power-associative Train Algebras [PDF]
, 2015 Artículo de publicación ISISin acceso a texto completoTrain algebras were introduced by Etherington in 1939 as an algebraic framework for treating genetic problems.
Behn von Schmieden, Antonio +2 more
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Dimensions of the AI Divide: Digital Inequality and Psychological Consequences
AI &Innovation, EarlyView.ABSTRACT Artificial intelligence (AI) has become a foundational component of contemporary social, economic, and political life. Yet, the ways in which AI reshapes patterns of exclusion beyond questions of access and technical capability remain insufficiently theorized.
Christos Papaioannou
wiley +1 more source
Connections with Irreducible Holonomy Representations
Advances in Mathematics, 2001 A subgroup of a linear group is called a Berger group if it satisfies all algebraic conditions for being the holonomy group of a torsion free affine connection. These conditions were introduced by Berger who also produced the list of such groups. Famous problems of differential geometry were to establish which groups from this list are realized by the ...
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Irreducible representations of Bost–Connes systems [PDF]
Journal of Noncommutative Geometry, 2016 The classification problem of Bost–Connes systems was studied by Cornelissen and Marcolli partially, but still remains unsolved. In this paper, we give a representation-theoretic approach to this problem. We generalize the result of Laca and Raeburn, which is concerned with the primitive ideal space of the Bost–Connes system for
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AI &Innovation, EarlyView.ABSTRACT The rapid advancement of large language model (LLM) technology is profoundly transforming the practice of social science research. Scholarly discussions on Artificial Intelligence (AI)'s role in social science research can be organised into three levels: AI as a research tool, AI as a methodological infrastructure and AI as a quasi‐cognitive ...
Jie Xiong
wiley +1 more source
Computing irreducible representation of finite metacyclic groups of order 16 using burnside method
, 2014 Irreducible representation is the nucleus of a character table and is of great importance in chemistry. This paper focuses on finite metacyclic groups and their irreducible representation.
Sarmin, Nor Haniza +2 more
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The Irreducible Representations of the Hecke Category
Journal of Algebra, 1999 The Iwahori-Hecke algebra (or \(A_n\)-series Hecke algebra) is defined as the quotient of the group algebra of the (\(A_n\)-type) braid group by the quadratic relations \((\sigma_i-1)(\sigma_i+q)=0\), where \(\sigma_i\) (\(1\leq i\leq n-1\)) are the standard symmetric group generators, reducing to the group algebra of the symmetric group at \(q=1 ...
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Boundary unitary representations-irreducibility and rigidity
Journal of Modern Dynamics, 2011 Let $M$ be compact negatively curved manifold, $Γ=π_1(M)$ and $\tilde{M}$ be its universal cover. Denote by $B =\partial \tilde{M}$ the geodesic boundary of $\tilde{M}$ and by $ν$ the Patterson-Sullivan measure on $X$. In this note we prove that the associated unitary representation of $Γ$ on $L^2(B,ν)$ is irreducible.
Bader, Uri, Muchnik, Roman
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A Note on the Representation Type of Pointed Irreducible Coalgebras and Unipotent Algebras
, 1977 In this paper the representation type of the class of pointed irreducible coalgebras is studied. We refer the reader to [4] for the basic definitions.
David Trushin
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