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math.CO1998
Composition sums related to the hypergeometric function
R. Milson
The present note considers a certain family of sums indexed by the set of fixed length compositions of a given number. The sums in question cannot be realized as weighted compositi…
solv-int1998
Imprimitively generated Lie-algebraic Hamiltonians and separation of variables
Robert Milson
Turbiner's conjecture posits that a Lie-algebraic Hamiltonian operator whose domain is a subset of the Euclidean plane admits a separation of variables. A proof of this conjecture…
solv-int1998
Quantization of cohomology in semi-simple Lie algebras
R. Milson, D. Richter
The space of realizations of a finite-dimensional Lie algebra by first order differential operators is naturally isomorphic to H^1 with coefficients in the module of functions. The…