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Special tensors in the deformation theory of quadratic algebras for classical Lie algebras

Eastwood, Michael; Somberg, Petr; Soucek, Vladimir

Description

Using deformation theory, Braverman and Joseph constructed certain primitive ideals in the enveloping algebras of the simple Lie algebras. Except in the case s l (2, C), there is a special value of the deformation parameter giving an ideal of infinite codimension. For the classical Lie algebras, the uniqueness of the special value is equivalent to the existence of tensors with very particular properties. The existence of these tensors was concluded abstractly by Braverman and Joseph but here we...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/21724
Source: Journal of Geometry and Physics
DOI: 10.1016/j.geomphys.2007.09.004

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