Discreteness of Fuzzy de Sitter Space
Discreteness of Fuzzy de Sitter Space is a scholarly work, published in 2018 in ''Physics of Particles and Nuclei''. The main subjects of the publication include political representation, Langlands program, irreducible representation, physics, pure mathematics, space, mathematical physics, unitary representation, fractional Fourier transform, algebra over a field, unitary state, de Sitter invariant special relativity, chaos theory, anti-de Sitter space, embedding, series, de Sitter universe, and de Sitter space. The authors discuss properties of fuzzy de Sitter space defined within the algebra of de Sitter group $$SO(1,4).$$ We find that the embedding coordinates have discrete spectra in the $$\left( {\rho ,s = \tfrac{1}{2}} \right)$$ unitary irreducible representation of the principal continuous series.