GeNoCAS 2023: Dirceu Bagio

On representations of Laistrygonian Nichols algebra
In the first part, we will present a class of finite Gelfand-Kirillov dimension Nichols algebra B(L( 1, q )) which appears in the problem of classification of Hopf algebras. In the second one, we will discuss results related to the representation category of B(L( 1, q )). Precisely, we will give the classification of finite-dimensional irreducible representations of B(L( 1, q )). The projective scheme parametrizing the point modules over B(L( 1, q )) will also be described.
This is a joint work with N. Andruskiewitsch, S. D. Flora and D. Flôres.