The Embedding Theorem for a Mixed Verbal Wreath Product in Lie Algebras Representations

1999/01/06 by L. A. Simonian, Simonian, L. A.
Mathematics · Social Sciences · #FOS: Mathematics #Literature, Language, and Rhetoric Studies #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.math/9901024

7 pages

arxiv created 1999/01/06 · openalex publication_date 1999/01/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The mixed verbal wreath product in representations of Lie algebras is a construction parallel to the verbal wreath product of Lie algebras introduced by A. L. Shmelkin. It is shown that the analog of the group theorem on embedding in the verbal wreath product also holds for representations of Lie algebras.

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