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4 papers · 2 filters
Directed Graphs, Decompositions, and Spatial Linkages
Offer Shai, Adnan Sljoka, Walter Whiteley
The decomposition of a linkage into minimal components is a central tool of analysis and synthesis of linkages. In this paper we prove that every pinned d-isostatic (minimally rigi…
Hamming graphs in Nomura Algebras
Ada Chan, Akihiro Munemasa
Let A be an association scheme on q\geq 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n\geq 2, is not the Nomura algebra of a type…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
The Murnaghan-Nakayama rule for k-Schur functions
Jason Bandlow, Anne Schilling, Mike Zabrocki
We prove the Murgnaghan--Nakayama rule for -Schur functions of Lapointe and Morse, that is, we give an explicit formula for the expansion of the product of a power sum symmetric…