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math.CO2009
Möbius inversion formula for monoids with zero
Laurent Poinsot, Gérard Duchamp, Christophe Tollu
The Möbius inversion formula, introduced during the 19th century in number theory, was generalized to a wide class of monoids called locally finite such as the free partially commu…
math.CO2009★ 5 cited
Ladder Operators and Endomorphisms in Combinatorial Physics
Gérard Henry Edmond Duchamp, Laurent Poinsot, Allan I. Solomon +3
Starting with the Heisenberg-Weyl algebra, fundamental to quantum physics, we first show how the ordering of the non-commuting operators intrinsic to that algebra gives rise to gen…