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math.RAAug 27, 2018
1
citations (OpenAlex)
authors
  • Vsevolod Gubarev
institutions
  • Sobolev Institute of Mathematics
  • University of Vienna
arXiv abstractPDF
paper

Embedding of post-Lie algebras into postassociative algebras

arXiv:1808.08839 · doi:10.1142/9789811215476_0007

Abstract

Applying Groebner-Shirshov technique, we prove that any post-Lie algebra injectively embeds into its universal enveloping postassociative algebra.

10 p

References in corpus (3)

  • Loday-type Algebras and the Rota-Baxter Relation
  • Differential Type Operators and Gröbner-Shirshov Bases
  • Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra
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