On the Plücker relations in the case of a basic classical complex Lie superalgebra
type: Item
instance of: scholarly article
title: On the Plücker relations in the case of a basic classical complex Lie superalgebra
zbMATH Open document ID: 0804.17002
DOI: 10.1016/0393-0440(94)90053-1
author: Caroline Gruson
published in: Journal of Geometry and Physics
publication date: 1994-08-14T00:00:00Z
review text: This article deals with the study of the ideal defining the orbit of a highest weight vector in a finite dimensional irreducible representation of a basic classical Lie superalgebra. For a semisimple Lie algebra, this situation gives rise to the so-called Plücker coordinates, and the ideal is generated by the elements of degree 2. In the present case, this is shown to be no longer true. The theory is illustrated in detail for the examples osp(3,2) and sl(1,2).
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 58A50
zbMATH DE Number: 617182
zbMATH Keywords: ideal
zbMATH Keywords: irreducible representation
zbMATH Keywords: Lie superalgebra
zbMATH Keywords: Plücker coordinates
zbMATH Keywords: osp(3,2)
zbMATH Keywords: sl(1,2)
MaRDI profile type: Publication
full work available at URL: 0393-0440(94)90053-1
OpenAlex ID: W1987014142
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description: scientific article; zbMATH DE number 617182