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In these notes we introduce the Clifford algebra of a quadratic space usingtechniques from universal algebra and algebraic theory of quadratic forms. Wealso define the Clifford, Pin and Spin groups associated to the algebra, andstudy how they relate to the isommetry group of the original quadratic space.Lastly we introduce the algebraic spinors space as a minimal left ideal(equivalently an irreducible representation) over the Clifford algebra, andmention its application in physics.

\'Algebras y grupos de Clifford, espinores algebraicos y aplicaciones a la f\'isica