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math.RT2024
The Tits construction for short -super-structures
Gonzalo Gutierrez, Marco Farinati
In this paper, we generalize the Tits construction for Lie superalgebras such that acts by even derivations and decompose, as -module, into a dir…
quant-ph2024★ 7 cited
Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras
Sujay Kazi, Martín Larocca, Marco Farinati +3
The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method to obtain approximate solutions for combinatorial optimization tasks. In this work, we study the…
math.AT2024
Biracks: a notational proposal and applications
Marco A. Farinati
I propose a notation for biracks that includes from the begining the knowledege of the associated (or underlying, or derived) rack structure. Motivated by results of Rump in the in…