A Differential Calculus on Superspace $${{\mathbb R}_h(1|2)}$$Rh(1|2) and Related Topics
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-016-0672-z
Abstract: We present a noncommutative differential calculus on the h-superspace via a contraction of the q-superspace, and find a new quantum matrix superalgebra. We also give a new deformation of the super-Heisenberg algebra. read more here.
Keywords: related topics; calculus superspace; superspace; differential calculus ... See more keywords
Differential Calculus of Zeon Functions
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DOI: 10.1007/s00006-019-0943-6
Abstract: Analogous to real functions, zeon functions are defined as zeon-valued functions of a zeon variable. In this paper, formal criteria for continuity and differentiability of zeon functions are put on a rigorous footing and the… read more here.
Keywords: zeon functions; calculus zeon; differential calculus; functions zeon ... See more keywords
Some remarks on the history of Ricci’s absolute differential calculus
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DOI: 10.1007/s00407-024-00336-2
Abstract: The article offers a general account of the genesis of the absolute differential calculus (ADC), paying special attention to its links with the history of differential geometry. In relatively recent times, several historians have described… read more here.
Keywords: remarks history; history; differential calculus; geometry ... See more keywords
Generalized Sequential Differential Calculus for Expected-Integral Functionals
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DOI: 10.1007/s11228-021-00590-4
Abstract: Motivated by applications to stochastic programming, we introduce and study the {\em expected-integral functionals} in the form \begin{align*} \mathbb{R}^n\times \operatorname{L}^1(T,\mathbb{R}^m)\ni(x,y)\to\operatorname{E}_\varphi(x,y):=\int_T\varphi_t(x,y(t))d\mu \end{align*} defined for extended-real-valued normal integrand functions $\varphi:T\times\mathbb{R}^n\times\mathbb{R}^m\to[-\infty,\infty]$ on complete finite measure spaces $(T,\mathcal{A},\mu)$. The… read more here.
Keywords: differential calculus; calculus expected; generalized sequential; integral functionals ... See more keywords
On Ward's differential calculus, Riordan matrices and Sheffer polynomials
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DOI: 10.1016/j.laa.2020.09.037
Abstract: Abstract We extend the pattern of behavior of some special sequences of polynomials, related to the usual derivative, to a larger context described by Ward in [44] . We also get some combinatorial properties of… read more here.
Keywords: ward differential; calculus riordan; riordan matrices; sheffer polynomials ... See more keywords
Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra
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DOI: 10.1063/5.0031135
Abstract: We introduce a Hopf algebra structure on the N = 2 quantum supersymmetry algebra and formulate a first order quantum differential calculus on it. Then, it is enhanced to three *-calculi by defining three appropriate… read more here.
Keywords: quantum; algebra; hopf; quantum super ... See more keywords
Noncommutative differential calculus structure on secondary Hochschild (co)homology
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DOI: 10.1080/00927872.2021.2006209
Abstract: Abstract. Let B be a commutative algebra and A be a B-algebra (determined by an algebra homomorphism ε : B → A). M. D. Staic introduced a Hochschild like cohomology H((A,B, ε);A) called secondary Hochschild… read more here.
Keywords: noncommutative differential; homology; differential calculus; calculus structure ... See more keywords
Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces
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DOI: 10.3390/axioms11050221
Abstract: We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector… read more here.
Keywords: differential calculus; vector bundles; dimensional vector; vector ... See more keywords