On the double of the Jordan plane

2021/08/31 by Andruskiewitsch, Nicolás, Dumas, François, Pollastri, Héctor Martín Peña · 1 citation
#16T05 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2108.13849

Abstract

We compute the simple finite-dimensional modules and the center of the Drinfeld double of the Jordan plane introduced in arXiv:2002.02514 assuming that the characteristic is zero.

Cited by

• Irreducible representations of pointed Hopf algebras of type A₂

Related

• On the finite-dimensional representations of the double of the Jordan plane
• On the Drinfeld double of the restricted Jordan plane in characteristic 2
• On the restricted Jordan plane in odd characteristic
• The prime spectrum of the Drinfeld double of the Jordan plane
• On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra FK₃