The noncommutative schemes of generalized Weyl algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.04.004
Abstract: Abstract The first Weyl algebra over k , A 1 = k 〈 x , y 〉 / ( x y − y x − 1 ) admits a natural Z -grading by letting deg… read more here.
Keywords: noncommutative schemes; schemes generalized; generalized weyl; weyl algebras ... See more keywords
Classification of twisted generalized Weyl algebras over polynomial rings
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.10.045
Abstract: Abstract Let R be a polynomial ring in m variables over a field of characteristic zero. We classify all rank n twisted generalized Weyl algebras over R, up to Z n -graded isomorphisms, in terms… read more here.
Keywords: twisted generalized; classification twisted; weyl algebras; generalized weyl ... See more keywords
Fixed rings of quantum generalized Weyl algebras
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2020.1755302
Abstract: Abstract Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms. We extend a theorem of… read more here.
Keywords: generalized weyl; fixed rings; rings quantum; weyl algebras ... See more keywords
The quantum non-Markovianity for a special class of generalized Weyl channel
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/adca0b
Abstract: A quantum channel is usually represented as a sum of Kraus operators. The recent study [Phys. Rev. A 98, 032328 (2018)] has shown that applying a perturbation to the Kraus operators in qubit Pauli channels,… read more here.
Keywords: generalized weyl; weyl channel; markovianity; special class ... See more keywords
Axionic quantum criticality of generalized Weyl semimetals
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.111.l121115
Abstract: In this work, we capture the quantum criticality of interacting generalized Weyl semimetals residing at the brink of axionic insulation. We do this by formulating a general field-theoretic description of $d$-dimensional interacting nodal semimetals featuring… read more here.
Keywords: generalized weyl; weyl semimetals; criticality generalized; quantum criticality ... See more keywords
Tunable THz generalized Weyl points.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
DOI: 10.1364/oe.27.000512
Abstract: Weyl points, as linearly double degenerated point of band structures, have been extensively researched in electronic and classical wave systems. However, Weyl points' realization is always accompanied with delicate "lattice structures". In this work, frequency-tunable… read more here.
Keywords: thz generalized; weyl points; generalized weyl; tunable thz ... See more keywords