FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 147-155

**The Heisenberg envelope for the Hochschild algebra of
a finite-dimensional Lie algebra**

Yu. P. Razmyslov

G. A. Pogudin

Abstract

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We consider some kind of Hopf algebra assigned to any
finite-dimensional Lie algebra.
This algebra was pointed out by Hochschild.
We prove several statements on its embeddings into an algebra of
formal power series.
In particular, we obtain similar results for Lie algebras.
More precisely, a Lie algebra can be embedded into a Lie
algebra of special derivations with coefficients in rational functions
in (quasi)polynomials.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k115/k11509h.htm

Last modified: October 18, 2012