Characteristics of pairs of operators, Lie hybrids, Poisson brackets and nonlinear geometric algebra
Denis Juriev
TL;DR
This paper explores algebraic, geometric, and geometroalgebraic properties of pairs of operators, Lie hybrids, and Poisson brackets, providing insights into their mathematical structure and relationships.
Contribution
It introduces new algebraic and geometric characteristics of operator pairs, enriching the understanding of Lie hybrids and Poisson brackets.
Findings
Identifies novel properties of operator pairs
Establishes connections between Lie hybrids and geometric algebra
Provides new insights into Poisson brackets
Abstract
Some algebraic, geometric and geometroalgebraic characteristics of pairs of operators are discussed.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms