Generalized Clifford algebra

Generalized Clifford algebras are an extension of the standard Clifford algebras defined over a vector space equipped with a quadratic form. They generalize ideas from traditional Clifford algebras to accommodate broader classes of geometrical and algebraic structures. A standard Clifford algebra \( Cl(V, Q) \) is constructed from a finite-dimensional vector space \( V \) over a field (usually the real or complex numbers) together with a non-degenerate quadratic form \( Q \).