A geometric proof of the Poincaré-Birkhoff-Witt Theorem
Tóm tắt
We use that the n-sphere for
$$n\ge 2$$
is simply-connected to prove the Poincaré-Birkhoff-Witt Theorem.
Tài liệu tham khảo
Gunning, R.C.: Lectures on Riemann Surfaces. Princeton University Press, Princeton (1966)
Humphreys, J.E.: Reflection Groups and Coxeter Groups. Cambridge University Press, Cambridge (1990)
Jacobson, N.: Lie algebras, Wiley (1962), Dover (1979)