Results 91 to 100 of about 6,914 (263)
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
From tunnels to towers: Quantum scars from Lie algebras and q-deformed Lie algebras
Physical Review Research, 2020 We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis.
Nicholas O'Dea +3 more
doaj +1 more source
Irreducible unitary representations of SU(2, 2)
, 1982 We give an explicit classification of the irreducible unitary representations of the simple Lie group SU(2, 2)
Knapp, A.W, Speh, B
core +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 ...
openaire +1 more source
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
openaire +3 more sources
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 ...
openaire +1 more source
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
openaire +2 more sources
Tuning the Magnetic Phase Transitions in TbMn2‐xTixSi2 (x = 0–0.3)
Advanced Physics Research, EarlyView.ABSTRACT Magnetocaloric materials receive considerable attention as promising candidates for next‐generation energy‐efficient and environmentally benign solid‐state refrigeration technologies. These materials exhibit the magnetocaloric effect (MCE), whereby heat is absorbed or released upon the application or removal of a magnetic field. In this study,
E. M. H. Arif +5 more
wiley +1 more source
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
core
Constructing Irreducible Representations of Finitely Presented Algebras
, 2001 We describe an algorithmic test, using the “standard polynomial identity" (and elementary computational commutative algebra), for determining whether or not a finitely presented associative algebra has an irreducible n -dimensional representation. When n
Letzter, Edward S.
core +1 more source