Editing Tensor algebra (section)

==Quotients==

Because of the generality of the tensor algebra, many other algebras of interest can be constructed by starting with the tensor algebra and then imposing certain relations on the generators, i.e. by constructing certain [[quotient associative algebra|quotient algebra]]s of ''T''(''V'').  Examples of this are the [[exterior algebra]], the [[symmetric algebra]], [[Clifford algebra]]s, the [[Weyl algebra]] and [[universal enveloping algebra]]s.