=1

Introduction
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Recently we have proposed a unified description for Drinfel’d type quantization of inhomogeneous orthogonal algebras $\operatorname{iso}(g)$ [@BP_unif] corresponding to the noncommutative spacetime of the form: $[x^{\mu},x^{\nu}]=\frac{i}{\kappa}(\tau^{\mu}x^{\nu}-\tau^{\nu}x^{\mu})$ [@koma95; @LLM] (we shall call it $\kappa (\tau)$-Minkowski spacetime). In this paper we want to discuss related problems with this generalized $\kappa(\tau)$-deformation. Historically, the $\kappa$-Minkowski spacetime [@MR; @Z] was the first example of a noncommutative spacetime of the Lie-algebraic type, where the time coordinate does not commute with the space coordinates. It is the time-like ($\tau^{0}\neq0$) version of above, more general noncommutative spacetime. The $\kappa$-Minkowski spacetime was inspired by the introduction of the deformed Poincaré Hopf algebra in 1991 [@LNR; @Luk1] with the deformation parameter ’kappa’ of mass dimension (which is usually interpreted as Planck mass or quantum gravity scale). Lie algebraic noncommutativity, including $\kappa$-Minkowski, have been further investigated by many authors in the wide range of applications, among others in deformation of special relativity framework [@dsr1; @dsr2], noncommutative field theories [@Wess2; @Wess3; @ncqft1; @ncqft3; @ncqft4; @Wess1; @ncqft2; @ncqft6; @ncqft7; @ncqft8; @ncqft5], deformed statistics [@kstatistics1; @kstatistics3; @kstatistics4; @kstatistics2], Planck scale physics [@planck_scale1; @planck_scale2] and quantum gravity phenomenology [@qgphenom2; @qgphenom3; @qgphenom1; @qgphenom4]. Moreover due to the fact that in the context of 