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- W2765807767 abstract "Kato's exotic nilpotent cone was introduced as a substitute for the ordinary nilpotent cone of type C with cleaner properties. The geometric Robinson-Schensted correspondence is obtained by parametrizing the irreducible components of the Steinberg variety (the conormal variety for the action of a semisimple group on two copies of its flag variety); in type A the bijection coincides with the classical Robinson-Schensted algorithm for the symmetric group. Here we give a combinatorial description of the bijection obtained by using the exotic nilpotent cone instead of ordinary type C nilpotent cone in the geometric Robinson-Schensted correspondence; we refer this as the exotic Robinson-Schensted bijection. This is interesting from a combinatorial perspective, and not a naive extension of the type A Robinson-Schensted bijection." @default.
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- W2765807767 date "2021-03-08" @default.
- W2765807767 modified "2023-09-26" @default.
- W2765807767 title "Irreducible components of exotic Springer fibres II : The exotic Robinson–Schensted algorithm" @default.
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- W2765807767 doi "https://doi.org/10.2140/pjm.2021.310.447" @default.
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