Combinatorial Invariance of Relative R-polynomials in the Hermitian Symmetric Case

Details Combinatorial Invariance of Relative R-polynomials in the Hermitian Symmetric Case Combinatorial Invariance of Relative R-polynomials in the Hermitian Symmetric Case

2009-11-30

arxiv.org/abs/0911.5694v1

Mathematics

Combinatorics

21 pages, 2 figures

Scientific paper

We develop a marking system for an analog of Hasse diagrams of intervals
$[u,v]$ with $u\leq v$ in a Hermitian symmetric pair $W/W_J$, and use this to
create a closed form algorithm for computing relative R-polynomials. The
uniform nature of this algorithm allows us to show combinatorial invariance of
relative Kazhdan-Lusztig polynomials in the Hermitian symmetric space setting.

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