Two one-parameter families of twists providing κ-Minkowski* product deformed spacetime
are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski …

Abstract Some classes of Deformed Special Relativity (DSR) theories are reconsidered
within the Hopf algebraic formulation. For this purpose we shall explore a minimal …

This paper develops an alternative formulation of quantum mechanics known as the phase
space quantum mechanics or deformation quantization. It is shown that the quantization …

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to the
closed Friedmann-Lemaître-Robertson-Walker cosmological model. We show that the …

We introduce the Hom-analogue of the LR-smash product and use it to define the Hom-
analogue of the diagonal crossed product. When H is a finite dimensional Hom-Hopf …

We derive an explicit expression for the star product reproducing the κ-Minkowski Lie
algebra in any dimension n. The result is obtained by suitably reducing the Wick–Voros star …

We introduce a more general version of the so-called LR-smash product and study its
relations with other kinds of crossed products (two-sided smash and crossed product and …

We introduce the concept of pseudotwistor (with particular cases called twistor and braided
twistor) for an algebra (A, μ, u) in a monoidal category, as a morphism T: A⊗ A→ A⊗ A …

We propose suitable ideas for non-formal deformation quantization of Fréchet Poisson
algebras. To deal with the convergence problem of deformation quantization, we employ …

In this paper, we prove that the LR smash product A♮ H is exactly the twisted smash product
A* H if H is a finite dimensional cocommutative Hopf algebra, and give a sufficient and …