Finite GK-dimensional Nichols Algebras over the Infinite Dihedral Group
Abstract
We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GK-dimension for short, through the study of Nichols algebras over D∞, the infinite dihedral group. We find all the irreducible Yetter-Drinfeld modules V over D∞, and determine which Nichols algebras B(V) of V are finite GK-dimensional.
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