On quantum spaces of Lie algebras
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- by Lieven Le Bruyn and Michel Van den Bergh PDF
- Proc. Amer. Math. Soc. 119 (1993), 407-414 Request permission
Abstract:
The homogenization $H(\mathfrak {g})$ of the enveloping algebra of a finite dimensional Lie algebra $\mathfrak {g}$ is an Artin-Schelter regular algebra. We characterize $d$-dimensional linear subspaces in the corresponding quantum space ${\mathbb {P}_q}(\mathfrak {g})$ as homogenizations of induced representations from codimension $d$ Lie subalgebras. Furthermore we prove that the point variety has an embedded component iff there is a line, not contained in this point variety.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 407-414
- MSC: Primary 17B35; Secondary 16W30, 17B37
- DOI: https://doi.org/10.1090/S0002-9939-1993-1149975-2
- MathSciNet review: 1149975