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Description: |
The Schützenberger involution, due to Schützenberger, originally appeared in type A root system, using the model of semistandard Young tableaux. In this talk, we present a type C realization of the Schützenberger involution using the model of Kashiwara-Nakashima tableaux. Like in type A, our type C realization of the Schützenberger involution flips the Kashiwara crystal in type C upside down. This means that the Schützenberger and Lusztig involutions coincide in type C. We then use this involution to explore some properties of the Robinson-Schensted correspondence in type C related to Sundaram and Pfannerer-Rubey-Westbury results. Another realization in type C of this involution is due to C. Lenart using a different model.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
João Miguel Santos (CMUC, Univ. Coimbra)
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Institution: |
Universidade de Coimbra
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Place: |
Sala 5.5
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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