A Basis of Type Poincaré-Birkhoff-Witt for the Quantum Algebra of [formula]-Cap(2)

Poincaré–Birkhoff–Witt Theorem for Quadr

Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type

✍ 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