We present spectroscopic optical and photometric infrared observations of 1
2 faint candidate members of the young open cluster alpha Persei found by P
resser in 1994. Kecb HIRES echelle spectra provide radial and rotational ve
locity measurements for five objects, two of which are clearly nonmembers b
ased on the radial velocities. These kinematic nonmembers also do not lit w
ell in the (V-I) versus (I-J) cluster sequence. One additional faint object
is likely a nonmember based on a low-resolution spectrum. Using HIRES, we
have searched for the Li I resonance line. Combining the absence/presence o
f lithium and photometry of the faint a Persei targets with confirmed membe
rship constrains their ages and masses. The lack of lithium in AP J0323+485
3 implies that its age is greater than about 65 Myr, which is older than th
e cluster classical upper main-sequence turnoff age of 50 Myr. A similar ag
e discrepancy is found in the Pleiades. We detect lithium in the faintest o
f our program stars, AP 270, which implies a mass for it just at the subste
llar mass limit, given our adopted age and its luminosity. The membership o
f AP 281 is in question because of its high radial velocity compared with t
he cluster mean. On the other hand, AP 281 lies on the photometric cluster
sequence and has a very high rotation velocity and H alpha emission, indica
ting youth. If it is a member, its lack of lithium would push the minimum a
ge of the cluster to 75 Myr, in agreement with a very recent upper main-seq
uence determination. In that case, AP 270 would not be a brown dwarf.