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math.CO2020
Sign-alternating Gibonacci polynomials
Robert G. Donnelly, Molly W. Dunkum, Murray L. Huber +1
We consider various properties and manifestations of some sign-alternating univariate polynomials borne of right-triangular integer arrays related to certain generalizations of the…
math.CO2020★ 2 cited
Symmetric Fibonaccian distributive lattices and representations of the special linear Lie algebras
Robert G. Donnelly, Molly W. Dunkum, Sasha V. Malone +1
We present a family of rank symmetric diamond-colored distributive lattices that are naturally related to the Fibonacci sequence and certain of its generalizations. These lattices…
math.CO2020
Gelfand--Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions
Robert G. Donnelly, Molly W. Dunkum
We generalize the famous weight basis constructions of the finite-dimensional irreducible representations of obtained by Gelfand and Tsetlin in 1950.…