Details

Autor(en) / Beteiligte

• Andruskiewitsch, Nicolás
• Peña Pollastri, Héctor

Titel

On the restricted Jordan plane in odd characteristic

Ist Teil von

• Journal of algebra and its applications, 2021-01, Vol.20 (1), p.2140012

Erscheinungsjahr

2021

Beschreibungen/Notizen

• In positive characteristic the Jordan plane covers a finite-dimensional Nichols algebra that was described by Cibils et al. and we call the restricted Jordan plane. In this paper, the characteristic is odd. The defining relations of the Drinfeld double of the restricted Jordan plane are presented and its simple modules are determined. A Hopf algebra that deserves the name of double of the Jordan plane is introduced and various quantum Frobenius maps are described. The finite-dimensional pre-Nichols algebras intermediate between the Jordan plane and its restricted version are classified. The defining relations of the graded dual of the Jordan plane are given.