Gröbner-Shirshov bases and PBW theorems
arXiv:1502.06472
Abstract
We review some applications of Gröbner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras.
13 pages
References in corpus (16)
- Composition-Diamond Lemma for Tensor Product of Free Algebras
- Groebner-Shirshov Bases for Lie Algebras: after A. I. Shirshov
- Gröbner-Shirshov bases for Lie algebras over a commutative algebra
- Gröbner-Shirshov bases for semirings
- Lyndon-Shirshov basis and anti-commutative algebras
- Anti-commutative Groebner-Shirshov basis of a free Lie algebra
- Composition-Diamond lemma for differential algebras
- Groebner-Shirshov bases for Schreier extensions of groups
- Groebner-Shirshov Basis for the Chinese Monoid
- Composition-Diamond lemma for associative -conformal algebras
- Gröbner-Shirshov Bases for Commutative Algebras with Multiple Operators and Free Commutative Rota-Baxter Algebras
- Gröbner-Shirshov bases for some Lie algebras
- Groebner-Shirshov bases for some one-relator groups
- Gröbner-Shirshov bases for braid groups in Adyan-Thurston generators
- Gröbner-Shirshov bases for categories
- Gröbner-Shirshov bases for free partially commutative Lie algebras