[[K-monoid|-ring]]

Algebra of Laurent polynomials

Let be a field. The algebra of Laurent polynomials in indeterminate is a -graded commutative [[K-monoid|-ring]], with elements of the form

such that has finite support, with multiplication given by . It is isomorphic to the group algebra .

Properties

  1. The degree derivation is given formally by
  2. The derivations of form the Witt algebra.


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