Representations$^{6-th}$ of Lie Algebras
Keqin Liu

TL;DR
This paper introduces a new concept called representations$^{6-th}$ of Lie algebras and explores their algebraic properties, including analogs of classical theorems and structures.
Contribution
It defines representations$^{6-th}$ of Lie algebras and investigates their associated P-B-W Theorem and Hopf algebra structures, extending classical Lie algebra theory.
Findings
Established the concept of representations$^{6-th}$ of Lie algebras.
Derived the P-B-W Theorem for these representations.
Analyzed the Hopf algebra structure in this context.
Abstract
We introduce representations of Lie algebras, and study the counterparts of the P-B-W Theorem and the Hopf algebra structure for the enveloping algebras of Lie algebras in the context of representations of Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models
