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Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags

Published online by Cambridge University Press:  20 November 2018

Daniele Rosso
Daniele Rosso*
Affiliation:
The University of Chicago, Department of Mathematics, 5734 S. University Ave. Chicago, IL 60637 email: d_rosso@math.uchicago.edu
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Abstract

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In this paper we first generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irreducible components of the flag variety in which they lie, using the Robinson–Schensted–Knuth correspondence. Then we use this result to generalize the mirabolic Robinson–Schensted–Knuth correspondence defined by Travkin, to the case of two partial flags and a line.

Keywords

14M1505A05partial flag varietiesRSK correspondence
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 5 , 01 October 2012 , pp. 1090 - 1121
Copyright
Copyright © Canadian Mathematical Society 2012

References

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