We present new high-resolution (R similar or equal to 21,000) near-infrared
(lambda = 2 mu m) spectroscopic observations of a sample of Class I and fl
at-spectrum protostellar objects in the rho Ophiuchi dark cloud. None of th
e five Class I spectra show CO upsilon = 0-2 absorption features, consisten
t with high K-band continuum veilings, 4 less than or similar to r(k) less
than or similar to 20, and fast stellar rotation, assuming that the underly
ing protostellar photospheres are of late spectral type, as is suggested by
the low luminosities of most of these objects. Two of the flat-spectrum pr
otostellar objects also show no absorption features and are likely to be hi
ghly veiled. The remaining two flat-spectrum sources show weak, broad absor
ptions, which are consistent with an origin in quickly rotating (upsilon si
n i approximate to 50 km s(-1)) late-type stellar photospheres, which are a
lso strongly veiled (r(k) similar or equal to 3-4). These observations prov
ide further evidence that: (1) Class I sources are highly veiled at near-in
frared wavelengths, confirming previous findings of lower resolution spectr
oscopic studies, and (2) flat-spectrum protostars rotate more rapidly than
classical T Tauri stars (Class II sources), supporting findings from a rece
nt high-resolution spectroscopic study of other flat-spectrum sources in th
is cloud. In addition our observations are consistent with the high rotatio
n rates derived for two of the Class I protostellar objects in our sample f
rom observations of variable hard X-ray emission obtained with the ASCA sat
ellite. These observations suggest that certain Class I sources can rotate
even more rapidly than flat-spectrum protostars, near breakup velocity.