We describe analyses of almost full-length sequences (including both the kinase domain and the S-domain) of the putative SRK incompatibility gene of the self-incompatible plant Arabidopsis lyrata. In A. lyrata, the SRK S-domain controls the pistil recognition specificity, as in self-incompatible Brassica species. In alleles from plants derived from natural A. lyrata populations, nonsynonymous and synonymous site diversity values are very high in both domains; even in exons 3 to 7 of the kinase domain, which probably have no recognition functions, 39% of the amino acids are polymorphic. Within populations, diversity between alleles is high, as expected for an incompatibility locus, which should be under frequency-dependent selection within populations, whereas within the different putative allelic classes polymorphism is very low, as predicted from theoretical models when recombination is rare. Nonsynonymous site variability declines in the kinase domain with increasing distance from the S-domain border, although synonymous diversity remains high, and the introns are unalignable. A decline in nonsynonymous diversity is expected due to selective constraints in the kinase domain, in combination with recombination (allowing diversity to decrease at sites distant from those under balancing selection). However, it is unclear whether recombination occurs in the SRK locus, and interpretation of the observed diversity pattern is complicated by apparent gene conversion with a paralogous gene (or genes). Patterns of linkage disequilibrium in our SRK sequences do not support the conclusion that recombination occurs, which was suggested from previous analyses based on Brassica SLG sequences.