'''vect''' sub ''k'' sub category vector spaces field ''k'' definition equivalent linear representation likewise set theoretic representation representation ''g'' category sets ''c'' '''ab''' category abelian groups objects obtained called ''g'' modules another example consider category topological spaces '''top''' representations '''top''' homomorphisms ''g'' homeomorphism group topological space ''x'' two types representations closely related linear representations projective representations category projective spaces described linear representations
Formal science Mathematics Pure mathematics Algebra Group representation