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
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