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A Poincaré–Birkhoff–Witt criterion for Koszul operads

✍ Scribed by Eric Hoffbeck


Book ID
105923823
Publisher
Springer
Year
2009
Tongue
English
Weight
309 KB
Volume
131
Category
Article
ISSN
0025-2611

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Poincaré–Birkhoff–Witt Theorem for Quadr
✍ Alexander Braverman; Dennis Gaitsgory 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 185 KB

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