Results 51 to 60 of about 3,438 (167)

Raising the level for $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\text {GL}_{{n}}$

Forum of Mathematics, Sigma, 2014
We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
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Dual pair correspondence in physics: oscillator realizations and representations

Journal of High Energy Physics, 2020
We study general aspects of the reductive dual pair correspondence, also known as Howe duality. We make an explicit and systematic treatment, where we first derive the oscillator realizations of all irreducible dual pairs: (GL(M, ℝ), GL(N, ℝ)), (GL(M, ℂ),
Thomas Basile, Euihun Joung, Karapet Mkrtchyan, Matin Mojaza   +3 more
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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, Fiona Burnell, Anushya Chandran, Vedika Khemani   +3 more
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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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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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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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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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IRREDUCIBLE REPRESENTATIONS OF HILBERT C-MODULES [PDF]

Mathematical Proceedings of the Royal Irish Academy, 2005
The subject of the paper is representations of Hilbert C*-modules. We introduce the concept of a nondegenerate, irreducible and cyclic representation and the cornmutant of a Hilbert C*-module. Relations between representations of a Hilbert C*-module, its linking algebra and underlying C*-algebras are discussed. We also study Hilbert CCR-and GCR-modules
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A Krull-Schmdit type theorem for coherent sheaves

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let X be projective variety over an algebraically closed field k and G be a finite group with g.c.d.(char(k), |G|) = 1. We prove that any representations of G on a coherent sheaf, ρ : G → End(ℰ), has a natural decomposition ℰ ≃ ⊕ V ⊗k ℱV, where G acts ...
Argáez A. S.
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Three point interaction of Dirac fermions with higher spin particles and discrete symmetries

Journal of High Energy Physics
We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any D spacetime, the interactions have been constructed using the projections of the higher spin irreducible ...
Kushal Chakraborty, Aakash Kumar, Arnab Rudra, Amey Yeole   +3 more
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