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• W2902005387 abstract "The move-minimizing puzzles presented here are certain types of one-player combinatorial games that are shown to have explicit solutions whenever they can be encoded in a certain way as diamond-colored modular and distributive lattices. Such lattices can also arise naturally as models for certain algebraic objects, namely Weyl group symmetric functions and their companion semisimple Lie algebra representations. The motivation for this paper is therefore both diversional and algebraic: To show how some recreational move-minimizing puzzles can be solved explicitly within an order-theoretic context and also to realize some such puzzles as combinatorial models for symmetric functions associated with certain fundamental representations of the symplectic and odd orthogonal Lie algebras." @default.
• W2902005387 created "2018-12-11" @default.
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• W2902005387 date "2017-10-02" @default.
• W2902005387 modified "2023-09-27" @default.
• W2902005387 title "Move-minimizing puzzles, diamond-colored modular and distributive lattices, and poset models for Weyl group symmetric functions" @default.
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