  In this work we report the results of DC susceptibility, AC susceptibility
and related technique, resistivity, transverse and longitudinal
magnetoresistance and heat capacity on polycrystalline magnetic semimetal
CeAlGe. This compound undergoes antiferromagnetic type ordering around 5.2 K
(T1). Under application of external magnetic fields, parallel alignment of
magnetic moments is favored, above 0.5 Tesla. At low field and temperature,
frequency and AC field amplitude response of AC susceptibility indicate to the
presence of spin-lattice relaxation phenomena. The observation of spin-lattice
interaction suggests to the presence of Rashba-Dresselhaus spin-orbit
interaction which is associated with inversion and time reversal symmetry
breaking. Additionally, presence of negative and asymmetric longitudinal
magnetoresistance indicates anomalous velocity contribution to the
magnetoresistance due to Rashba-Dresselhaus spin-orbit interaction which is
further studied by heat capacity.
