Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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Universal Enveloping Algebras of Poisson Superalgebras
Algebras and Representation TheoryAbstract In this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to a PBW Theorem for Poisson superalgebras, we show the universal enveloping algebra of a Poisson Hopf superalgebra (resp.
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Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm's hidden variables. [PDF]
Sci Rep, 2022 Santilli RM, Sobczyk G.
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Centers of Universal Enveloping Algebras
The universal enveloping algebra $U(\mathfrak{g} )$ of a current (super)algebra or loop (super)algebra $\mathfrak{g} $ is considered over an algebraically closed field $\mathbb{K} $ with characteristic $p\ge 0$. This paper focuses on the structure of the center $Z(\mathfrak{g} )$ of $U(\mathfrak{g} )$. In the case of zero characteristic, $Z(\mathfrak{g}
Yang, Yaping, Zeng, Daihao
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Primeness Criteria for Universal Enveloping Algebras of Lie Color Algebras
Journal of Algebra, 2001 Let \({\mathcal L}={\mathcal L}_++{\mathcal L}_-\) be a Lie color algebra over a field of characteristic different from 2, where \(\mathcal L\) is graded by an abelian group \(G\), \(\dim{\mathcal L}_-
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K-Theory for Semigroup C*-Algebras and Partial Crossed Products. [PDF]
Commun Math Phys, 2022 Li X.
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Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]
Milan J Math, 2022 Bottini A.
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Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
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Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Commun Math Phys, 2023 Beem C, Nair S.
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