Kento Nakada (Okayama University) A hook formula for minuscule elements in Weyl groups

Tue, Jun. 26 3pm (MATH 350)

Lie Theory

Manabu HAGIWARA (Chiba University) Algebraic and Combinatorial Aspects of Insertion/Deletion Operations

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D. Peterson introduced the notion of "minuscule elements" in Weyl groups. This is a generalization of Grassmannian permutations in symmetric groups. This talk introduces minuscule elements, generalized Young diagrams, and their hook formulae. These are generalizations of the ordinary hook formula for Young diagrams.

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Insertions and deletions are operations in a model of synchronization errors in coding theory. This talk introduces relations between such operations and mathematics, in particular, minuscule objects of Weyl groups and combinatorics.