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Book Synopsis
Considers a rank one group G = A,Bacting cubically on a module V, this means [V,A,A,A] = 0 but [V,G,G,G]= 0. We have to distinguish whether the group A0 := CA([V,A]) ?CA(V/CV(A)) is trivial or not. The authors show that if A0 is trivial, G is a rank one group associated to a quadratic Jordan division algebra.

Cubic Action of a Rank One Group

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    A Paperback by Matthias Gruninger

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      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2022 12:00:00 AM
      ISBN13: 9781470451349, 978-1470451349
      ISBN10: 1470451344

      Description

      Book Synopsis
      Considers a rank one group G = A,Bacting cubically on a module V, this means [V,A,A,A] = 0 but [V,G,G,G]= 0. We have to distinguish whether the group A0 := CA([V,A]) ?CA(V/CV(A)) is trivial or not. The authors show that if A0 is trivial, G is a rank one group associated to a quadratic Jordan division algebra.

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