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A Birkhoff theorem for partial algebras via completion

✍ Scribed by Hans-Jürgen Hoehnke

Publisher
Springer
Year
1996
Tongue
English
Weight
616 KB
Volume
4
Category
Article
ISSN
0927-2852

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✦ Synopsis

An equational theory (a 'Birkhoff theorem') for functorial partial algebras is established via the corresponding theory for functorial total algebras.

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✍ 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