$q$-Heisenberg Algebra in $\otimes^{2}-$Tensor Space

• URL: http://arxiv.org/abs/2504.10741v2
• Date: Wed, 16 Apr 2025 02:13:32 GMT
• Title: $q$-Heisenberg Algebra in $\otimes^{2}-$Tensor Space
• Authors: Julio César Jaramillo Quiceno,
• Abstract summary: We introduce the $q$-Heisenberg algebra in the tensor product space $otimes2$.<n>Our results extend known constructions in $q$-deformed algebras and offer new insights into functional analysis in non-commutative settings.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we introduce the $q$-Heisenberg algebra in the tensor product space $\otimes^2$. We establish its algebraic properties and provide applications to the theory of non-monogenic functions. Our results extend known constructions in $q$-deformed algebras and offer new insights into functional analysis in non-commutative settings.

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