Noncommutative identities
Maxim Kontsevich
TL;DR
This paper explores noncommutative Laurent polynomials, establishing connections with algebraic functions and demonstrating integrability and Laurent phenomena in free noncommutative variables.
Contribution
It introduces new relationships between noncommutative Laurent polynomials and algebraic functions, with examples illustrating integrability and Laurent phenomena.
Findings
Relation between noncommutative Laurent polynomials and algebraic functions
Examples of integrability in noncommutative variables
Demonstration of Laurent phenomenon in free noncommutative variables
Abstract
This is a slightly edited version of my talk on Mathematische Arbeitstagung 2011, Bonn. I present a result relating noncommutative Laurent polynomials with algebraic functions, and show examples of integrability and Laurent phenomenon for free noncommutative variables.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models