The noncommutative schemes of generalized Weyl algebras
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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
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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
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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
Tunable THz generalized Weyl points.
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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