11. In the sentence beginning " In the exterior algebra . . . " there are 2 image references. 12. This algebra, commonly denoted by, is called the exterior algebra of " V ". 13. There is an excellent Wiki article about exterior algebra , and there is also one about Hopf algebra. 14. The algebra of dual numbers is isomorphic to the exterior algebra of \ mathbb { R } ^ 1. 15. Clifford algebras are thus non-anti-commutative ( " quantum " ) deformations of the exterior algebra . 16. The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of. 17. These include the exterior algebra , the symmetric algebra, Clifford algebras, the Weyl algebra and universal enveloping algebras. 18. The coproduct and counit, along with the exterior product, define the structure of a bialgebra on the exterior algebra . 19. Then " A " ( as an algebra ) is a free exterior algebra with generators of odd degree. 20. The graded exterior algebra O ^ * ( Z ) is a graded differential algebra with respect to the graded exterior differential
