An Inflationary Scenario Taking into Account of Possible Dark Energy
  Effects in the Early Universe
  We investigate the possible effect of cosmological-constant type dark energy
during the inflation period of the early universe. This is accommodated by a
new dispersion relation in de Sitter space. The modified inflation model of a
minimally-coupled scalar field is still able to yield an observation-compatible
scale-invariant primordial spectrum, simultaneously having potential to
generate a spectrum with lower power at large scales. A qualitative match to
the WMAP 7-year data is presented. We obtain an $\Omega_\Lambda$ of the same
order of that in the $\Lambda$-CDM model. Possible relations between the de
Sitter scenario and the Doubly Special Relativity(DSR) are also discussed.
