1) Pericyclic reactions proceed in a concerted, one-step process via a cyclic transition state with high stereo selectivity. They include cycloadditions, electrocyclic reactions, and sigmatropic rearrangements.
2) Cycloadditions are classified as (2+2) or (4+2) depending on the number of pi electrons involved. Diels-Alder reactions are a common example of a (4+2) cycloaddition.
3) Electrocyclic reactions involve the formation or breaking of a ring with the generation or loss of a pi bond. They can be analyzed using frontier molecular orbital theory and orbital symmetry correlation diagrams.