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math.CO2018★ 2 cited
Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions
Eric Bucher, Chris Eppolito, Jaiung Jun +1
In this paper, we give a cancellation-free antipode formula for the matroid-minor Hopf algebra. We then explore applications of this formula. For example, the cancellation-free for…
math.RT2018
Combinatorics of Fourier transforms for type A quiver representations
Pramod N. Achar, Maitreyee C. Kulkarni, Jacob P. Matherne
We describe two new combinatorial algorithms (using the language of "triangular arrays") for computing the Fourier transforms of simple perverse sheaves on the moduli space of repr…