Open Access
October 2022 On the double of the Jordan plane
Nicolás Andruskiewitsch, François Dumas, Héctor Martín Peña Pollastri
Author Affiliations +
Ark. Mat. 60(2): 213-229 (October 2022). DOI: 10.4310/ARKIV.2022.v60.n2.a1

Abstract

We compute the simple finite-dimensional modules and the center of the Drinfeld double of the Jordan plane introduced in [Andruskiewitsch, N. and Peña Pollastri, H. M., “On the restricted Jordan plane in odd characteristic”, J. Algebra Appl. 20, 2140012 (2021). MR4209966] assuming that the characteristic is zero.

Citation

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Nicolás Andruskiewitsch. François Dumas. Héctor Martín Peña Pollastri. "On the double of the Jordan plane." Ark. Mat. 60 (2) 213 - 229, October 2022. https://doi.org/10.4310/ARKIV.2022.v60.n2.a1

Information

Received: 3 September 2021; Accepted: 4 February 2022; Published: October 2022
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.4310/ARKIV.2022.v60.n2.a1

Subjects:
Primary: 16T05
Secondary: 16S36 , 16T20

Keywords: Drinfeld double , Jordan plane , Nichols algebra , Weyl algebra

Rights: Copyright © 2022 Institut Mittag-Leffler

Vol.60 • No. 2 • October 2022
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