The Construction of a Class of Presentations for Specht Modules
Copyright policy )The Construction of a Class of Presentations for Specht Modules
We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Specht modules. We obtain these presentations by defining a linear operator which is a symmetrized sum of dual Garnir relations on the space of column tabloids. Our presentations apply to the vast majority of shapes of Specht modules.
Other \(n\)-ary compositions \((n \ge 3)\), Representation Theory, Combinatorics, 05E10, 20C30, Combinatorial aspects of representation theory, FOS: Mathematics, Representations of finite symmetric groups, dual Garnir relations on the space of column tabloids, Combinatorics (math.CO), Representation Theory (math.RT)
Other \(n\)-ary compositions \((n \ge 3)\), Representation Theory, Combinatorics, 05E10, 20C30, Combinatorial aspects of representation theory, FOS: Mathematics, Representations of finite symmetric groups, dual Garnir relations on the space of column tabloids, Combinatorics (math.CO), Representation Theory (math.RT)
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