  We study the alignments between the angular momentum of individual objects
and the large-scale structure in cosmological numerical simulations and real
data from the Sloan Digital Sky Survey, Data Release 6. To this end we measure
anisotropies in the two point cross-correlation function around simulated halos
and observed galaxies, studying separately the 1- and 2-halo regimes. The
alignment of the angular momentum of dark-matter haloes in LCDM simulations is
found to be dependent on scale and halo mass. At large distances (2-halo
regime), the spins of high mass haloes are preferentially oriented in the
direction perpendicular to the distribution of matter; lower mass systems show
a weaker trend that may even reverse to show an angular momentum in the plane
of the matter distribution. In the 1-halo term regime, the angular momentum is
aligned in the direction perpendicular to the matter distribution; the effect
is stronger than for the 1-halo term and increases for higher mass systems.
  On the observational side, we focus our study on galaxies in the Sloan
Digital Sky Survey, Data Release 6 (SDSS-DR6) with elongated apparent shapes,
and study alignments with respect to the major semi-axis. We find an excess of
structure in the direction of the major semi-axis for all samples; the red
sample shows the highest alignment (2.7+-0.08%) and indicates that the angular
momentum of flattened spheroidals tends to be perpendicular to the large-scale
structure. (Abridged)
