Braided bialgebras of Hecke-type

作者:Ardizzoni A*; Menini C; Stefan D
来源:Journal of Algebra, 2009, 321(3): 847-865.
DOI:10.1016/j.jalgebra.2008.11.011

摘要

The paper is devoted to prove a version of Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2, we prove that, for a given connected braided bialgebra (A. CA) which is infinitesimally lambda-cocommutative for some element lambda not equal 0 that is not a root of one in the base field, then the infinitesimal braiding of A is of Hecke-type of mark lambda and A is isomorphic as a braided bialgebra to the symmetric algebra of the braided subspace of its primitive elements.

  • 出版日期2009-2-1