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Explore the latest developments in Mathematica's noncommutative algebra capabilities in this 29-minute conference talk. Learn about the new functionality introduced in Mathematica 14.3 for computation with noncommutative polynomials, including polynomial transformations, polynomial reduction, and Groebner basis computation. Discover how Version 15.0, scheduled for release in 2026, will extend these capabilities to noncommutative algebras defined by generators and relations, encompassing Weyl, Clifford, and Grassmann algebras. Examine practical examples demonstrating how these advanced mathematical tools can be applied to solve complex problems in noncommutative algebra, and gain insights into the computational methods that make these calculations possible within the Mathematica environment.
