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math-ph2026
Araki Cohomology of the de Sitter Scalar Discrete Series
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan +1
Building on the recently established de Sitter (dS)-covariant indecomposable Krein realization of the scalar discrete-series unitary irreducible representations , $p=1,2,\…
math-ph2026
de Sitter Scalar Discrete Series: Gupta-Bleuler Structure and Holography
Maryam Bajalan, Jean-Pierre Gazeau, Hamed Pejhan
We show that scalar discrete-series unitary irreducible representations (UIRs) () of the de Sitter (dS) group admit a dS-covariant Krei…
math-ph2026
Massless Representations in Conformal Space and Their de Sitter Restrictions
Jean-Pierre Gazeau, Hamed Pejhan, Ivan Todorov
The monograph offers a coherent and self-contained treatment of massless (ladder) representations of the conformal group U(2,2) and their restriction to the de Sitter group Sp(2,2)…