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math.CO2025
Lie and pre-Lie theory of Novikov algebras
Ruggero Bandiera, Frédéric Patras
Novikov algebras provide a simple but powerful algebraic axiomatization of important features of classical diferential calculus. We study their structure properties, modeling their…
math.CO2025
Matrix symmetric and quasi-symmetric functions and noncommutative representation theory
Loïc Foissy, Claudia Malvenuto, Frédéric Patras
A fundamental result by L. Solomon in algebraic combinatorics and representation theory states that Mackey formulas for products of characters of a symmetric group, or equivalently…