𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On deformations of a subalgebra of the poisson lie algebraC∞((ℝ2n)

✍ Scribed by J. C. Cortet; M. Marrakchi

Publisher
Springer
Year
1986
Tongue
English
Weight
155 KB
Volume
12
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that there exists an infinite-dimensional Poisson subalgebra in a C o~ (R2n) invariant with respect to the Moyal bracket but not rigid, i.e., admitting nontrivial deformations.

📜 SIMILAR VOLUMES

Deformations of W1(n)⊗A and modular semi
Deformations of W1(n)⊗A and modular semisimple Lie algebras with a solvable maximal subalgebra
✍ Pasha Zusmanovich 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 355 KB

In one of his last papers, Boris Weisfeiler proved that if modular semisimple Lie algebra possesses a solvable maximal subalgebra which defines in it a long filtration, then associated graded algebra is isomorphic to one constructed from the Zassenhaus algebra tensored with the divided powers algebr