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Some extensions of the Poincaré–Birkhoff theorem

✍ Scribed by Kirillov, Alexander; Starkov, Victor


Book ID
121610009
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
275 KB
Volume
13
Category
Article
ISSN
1661-7738

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Poincaré–Birkhoff–Witt Theorem for Quadr
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In this paper we prove a general Poincare᎐Birkhoff᎐Witt theorem for quadratic Ḱoszul algebras. The result is similar to that obtained by Polischuk and Positselsky, but the proof is entirely different and uses algebraic deformation theory. In particular, we obtain a new proof of the classical PBW-the