exterior algebra वाक्य
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- More general exterior algebras can be defined for sheaves of modules.
- I became a bit confused about exterior algebras as Hopf algebras.
- Exterior algebras of vector bundles are frequently considered in geometry and topology.
- It is a grade 1 derivation on the exterior algebra.
- With the rise of differential geometry the exterior algebra was applied to differential forms.
- That is, the exterior algebra can also be given a Hopf algebra structure.
- We mention a dichotomy drawn from exterior algebra.
- The associated graded algebra is \ bigwedge V, the exterior algebra of V.
- The corresponding exterior algebra is defined as
- Grassmann algebras ( also known as exterior algebras ) are the most common examples of nontrivial supercommutative algebras.
- In the sentence beginning " In the exterior algebra . . . " there are 2 image references.
- This algebra, commonly denoted by, is called the exterior algebra of " V ".
- There is an excellent Wiki article about exterior algebra, and there is also one about Hopf algebra.
- The algebra of dual numbers is isomorphic to the exterior algebra of \ mathbb { R } ^ 1.
- Clifford algebras are thus non-anti-commutative ( " quantum " ) deformations of the exterior algebra.
- The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of.
- These include the exterior algebra, the symmetric algebra, Clifford algebras, the Weyl algebra and universal enveloping algebras.
- The coproduct and counit, along with the exterior product, define the structure of a bialgebra on the exterior algebra.
- Then " A " ( as an algebra ) is a free exterior algebra with generators of odd degree.
- The graded exterior algebra O ^ * ( Z ) is a graded differential algebra with respect to the graded exterior differential
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