English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider the Lie group    R  κ  D    generated by the Lie algebra of κ‐Minkowski space. Imposing the invariance of the metric under the pull‐back of diffeomorphisms induced by right translations in the group, we show that a unique right invariant metric is associated with    R  κ  D   . This metric coincides with the metric of de Sitter space‐time. We analyze the structure of unitary representations of the group    R  κ  D    relevant for the realization of the non‐commutative κ‐Minkowski space by embedding into    (  2  D  −  1  )   ‐dimensional Heisenberg algebra. Using a suitable set of generalized coherent states, we select the particular Hilbert space and realize the non‐commutative κ‐Minkowski space as an algebra of the Hilbert‐Schmidt operators. We define dequantization map and fuzzy variant of the Laplace‐Beltrami operator such that dequantization map relates fuzzy eigenvectors with the eigenfunctions of the Laplace‐Beltrami operator on the half of de Sitter space‐time.

Fuzzy de Sitter Space from kappa‐Minkowski Space in Matrix Basis