Subalgebras of Free Lie Algebras

By A. I. Shirshov. 2009

123 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/528fb9f690f895d5c69651a0d40095ea8758a420

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Yuqun Chen
2. Leonid A. Bokut
3. Ualbai U. Umirbaev
4. Pavel S. Kolesnikov

In Geometry and Topology

1. Yuqun Chen
2. Leonid A. Bokut
3. Ualbai U. Umirbaev
4. Pavel S. Kolesnikov

In Mathematical Physics

1. Yuqun Chen
2. Leonid A. Bokut
3. Ualbai U. Umirbaev

Citations in the corpus

• Universal enveloping algebras and universal derivations of Poisson algebras (2011, background): “In fact, it follows from this theorem [36] that subalgebras of free Lie algebras are free [28, 38] and automorphisms of finitely generated free Lie algebras are tame [8].”
• Gröbner–Shirshov bases and their calculation (2013, methodology): “Shirshov (1953) and Cartier (1958) gave classical examples of non-special Lie algebras over commutative algebras over G F(2), justified using ad hoc methods.”