Results 41 to 50 of about 12,383,450 (356)

Equivariant Holomorphic Hermitian Vector Bundles over a Projective Space

open access: yesMathematics
The aim here is to describe all isomorphism classes of SU(n+1)-equivariant Hermitian holomorphic vector bundles on the complex projective space CPn. If G⊂SU(n+1) is the isotropy subgroup of a chosen point x0∈CPn, and ρ:G⟶GL(V) is a unitary representation,
Indranil Biswas, Francois-Xavier Machu
doaj   +1 more source

Unitary Invertible Graphs of Finite Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
doaj   +1 more source

Supercharacters of Unipotent Groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
\textbfAbstract. We construct supercharacter theories of finite unipotent groups in the orthogonal, symplectic and unitary types. Our method utilizes group actions in a manner analogous to that of Diaconis and Isaacs in their construction of ...
Scott Andrews
doaj   +1 more source

Nash Equilibria of Quantum Games in the Special Two-Parameter Strategy Space

open access: yesApplied Sciences, 2022
The aim of the paper is to examine pure Nash equilibria in a quantum game that extends the classical bimatrix game of dimension 2. The strategies of quantum players are specific types of two-parameter unitary operations such that the resulting quantum ...
Piotr Frąckiewicz   +3 more
doaj   +1 more source

Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group [PDF]

open access: yes, 2008
We classify, up to local unitary equivalence, the set of $n$-qubit states that is stabilized by the diagonal subgroup of the local unitary group. We exhibit a basis for this set, parameterized by diagrams of nonintersecting chords connecting pairs of ...
David W. Lyons, S. Walck
semanticscholar   +1 more source

On unitary representability of topological groups [PDF]

open access: yesMathematische Zeitschrift, 2008
We prove that the additive group $(E^\ast, _k(E))$ of an $\mathscr{L}_\infty$-Banach space $E$, with the topology $ _k(E)$ of uniform convergence on compact subsets of $E$, is topologically isomorphic to a subgroup of the unitary group of some Hilbert space (is \emph{unitarily representable}).
openaire   +4 more sources

Spin‐Polarized Antiferromagnets for Spintronics

open access: yesAdvanced Materials, EarlyView.
This review highlights recent advances in anomalous and spin transport phenomena in spin‐polarized antiferromagnets. Key effects—including the anomalous Hall, Nernst, and magneto‐optical effects—are discussed across various antiferromagnetic platforms.
Zhenzhou Guo   +5 more
wiley   +1 more source

g-frame generator sets for projective unitary representations

open access: yesAIMS Mathematics
Frames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on.
Aifang Liu, Jian Wu
doaj   +1 more source

Anomaly of $(2+1)$-dimensional symmetry-enriched topological order from $(3+1)$-dimensional topological quantum field theory

open access: yesSciPost Physics, 2023
Symmetry acting on a (2+1)$D$ topological order can be anomalous in the sense that they possess an obstruction to being realized as a purely (2+1)$D$ on-site symmetry. In this paper, we develop a (3+1)$D$ topological quantum field theory to calculate the
Weicheng Ye, Liujun Zou
doaj   +1 more source

Ellipticity‐Controlled Exceptional Points and Cross‐Polarized Phase Singularities in Multi‐Layer Silicon Guided Mode Resonant Metasurfaces

open access: yesAdvanced Optical Materials, EarlyView.
Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg   +2 more
wiley   +1 more source

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