A possible quantic motivation of the structure of quantum group
Giuseppe Iurato
TL;DR
This paper proposes a new simple structure for a non-finitely generated braided non-commutative Hopf algebra inspired by elementary quantum mechanics, aiming to deepen understanding of quantum group structures.
Contribution
It introduces a novel natural structure for a specific class of quantum groups motivated by quantum mechanics principles.
Findings
Constructed a no finitely generated braided non-commutative Hopf algebra
Provides a new perspective on quantum group structure
Links quantum mechanics concepts with algebraic structures
Abstract
Following a suggestion of A. Connes (see [Co] {\S} I.1), we build up a (first) simple natural structure of a no finitely generated braided non-commutative Hopf algebra, suggested by elementary quantum mechanics.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Black Holes and Theoretical Physics