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Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags
- Source :
- Canadian Journal of Mathematics. 64:1090-1121
- Publication Year :
- 2012
- Publisher :
- Canadian Mathematical Society, 2012.
-
Abstract
- 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.<br />Comment: 27 pages, slightly rewritten to combine two papers into one and clarify some sections
- Subjects :
- Mathematics::Combinatorics
General Mathematics
010102 general mathematics
FLAGS register
01 natural sciences
Combinatorics
Robinson–Schensted–Knuth correspondence
Mathematics - Algebraic Geometry
0103 physical sciences
Line (geometry)
FOS: Mathematics
Mathematics - Combinatorics
14M15 (Primary) 05A05 (Secondary)
Combinatorics (math.CO)
010307 mathematical physics
0101 mathematics
Variety (universal algebra)
Mathematics::Representation Theory
Algebraic Geometry (math.AG)
Mathematics
Flag (geometry)
Subjects
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 64
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....927c0459feec696e233fe00250725047