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PBW-deformation theory and regular central extensions
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Published/Copyright:
December 7, 2007
Abstract
A deformation U, of a graded K-algebra A is said to be of PBW type if gr U is A. It has been shown for Koszul and N-Koszul algebras that the deformation is PBW if and only if the relations of U satisfy a Jacobi type condition. In particular, for these algebras the determination of the PBW property is a finite and explicitly determined linear algebra problem. We extend these results to an arbitrary graded K-algebra, using the notion of central extensions of algebras and a homological constant attached to A which we call the complexity of A.
Received: 2006-03-24
Published Online: 2007-12-07
Published in Print: 2007-09-26
© Walter de Gruyter
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- PBW-deformation theory and regular central extensions
- On the intersection theory of Quot schemes and moduli of bundles with sections
- Convergence of quantum cohomology by quantum Lefschetz
- Bivariant algebraic K-theory
- Sommes de Dedekind associées à un corps de nombres totalement réel
- First steps towards p-adic Langlands functoriality
- On the cohomology and the Chow ring of the classifying space of PGLp
- Appendix. Chern classes are not enough
Articles in the same Issue
- PBW-deformation theory and regular central extensions
- On the intersection theory of Quot schemes and moduli of bundles with sections
- Convergence of quantum cohomology by quantum Lefschetz
- Bivariant algebraic K-theory
- Sommes de Dedekind associées à un corps de nombres totalement réel
- First steps towards p-adic Langlands functoriality
- On the cohomology and the Chow ring of the classifying space of PGLp
- Appendix. Chern classes are not enough
