The relation between constants in generic and degenerate subspaces of free unital associative complex algebra

Abstract

From the study of the constants in the generic and the degenerate weight subspaces of the free unitary associative complex algebra ${\mathcal{B}}$, it follows that the constants in the degenerate weight subspaces of the algebra ${\mathcal{B}}$ can be constructed from the corresponding constants in the generic case by a certain specialization procedure. Here we consider that each constant in each generic weight subspace of the algebra ${\mathcal{B}}$ can be expressed by certain iterated q-commutators

Received: 26 December 2022 | Accepted: 13 May 2023