Immobilized Lewis Acid catalyst comprising polymer having at least one Lewis Acid immobilized within the structure therein, said polymer having monomer units represented by the structural formula:--[A].sub.a --[B].sub.b --[C].sub.c --wherein a represents about 1 to about 99 mole %b represents about 0 to about 50 mole %c represents about 1 to about 99 mole %a+b+c is preferably about 100%; ##STR1## C is selected from the group consisting of: ##STR2## (III) combinations thereof, wherein D is OH, halide, OR.sup.4, NH.sub.2, NHR.sup.3, OM', or OM";E is the residue of the reaction of at least one Lewis Acid with the D substituent of monomer unit B;R.sup.1 represents proton, C.sub.1 -C.sub.24 alkyl group, or C.sub.3 -C.sub.24 cycloalkyl;R.sup.2 represents C.sub.1 -C.sub.24 alkylene group, C.sub.3 -C.sub.24 cycloalkylene, C.sub.6 -C.sub.18 arylene, or C.sub.7 -C.sub.30 alkylarylene;R.sup.3 represents C.sub.1 -C.sub.24 alkyl, C.sub.3 -C.sub.24 cycloalkyl, C.sub.1 -C.sub.24 aryl, or C.sub.7 -C.sub.30 alkylaryl;R.sup.4 represents C.sub.1 -C.sub.24 alkyl, C.sub.3 -C.sub.24 cycloalkyl, C.sub.1 -C.sub.24 aryl, or C.sub.7 -C.sub.30 alkylaryl;M' represents alkali metal;M" represents alkaline-earth metal.Also disclosed are polymerization and alkylation processes utilizing the immobilized Lewis Acid catalysts. Another aspect of the present invention is a method of manufacturing immobilized Lewis Acid catalysts.