The process in which a hemopoietic stem cell acquires the specialized features of a B-1 B cell. B-1 B cells are a distinct subset of B cells characterized as being CD5 positive, found predominantly in the peritoneum, pleural cavities, and spleen, and enriched for self-reactivity. [GOC:add, ISBN:0781735149]
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C5: Ontology GO: Gene Ontology GO:BP: GO Biological Process