Some homological properties of Jordan plane

The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphis...

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Bibliografiske detaljer
Main Authors:	Suárez Suárez, Hector Julio, Gómez Parada, Jonatan Andrés
Format:	Online
Sprog:	spa
Udgivet:	Universidad Pedagógica y Tecnológica de Colombia 2018
Fag:	Plano de Jordan álgebras Artin-Schelter regulares álgebras Calabi-Yau torcidas automorfismo de Nakayama Álgebra Jordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphism
Online adgang:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140

Beskrivelse
Summary:	The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphism is explicitly calculated.