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- W2949083934 abstract "When $Sp(2n,mathbb{C})$ acts on the flag variety of $SL(2n,mathbb{C})$, the orbits are in bijection with fixed point free involutions in the symmetric group $S_{2n}$. In this case, the associated Kazhdan-Lusztig-Vogan polynomials $P_{v,u}$ can be indexed by pairs of fixed point free involutions $vgeq u$, where $geq$ denotes the Bruhat order on $S_{2n}$. We prove that these polynomials are combinatorial invariants in the sense that if $f: [u, w_0 ] rightarrow [u , w_0]$ is a poset isomorphism of upper intervals in the Bruhat order on fixed point free involutions, then $P_{v,u} = P_{f(v),u}$ for all $v geq u$." @default.
- W2949083934 created "2019-06-27" @default.
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- W2949083934 date "2016-12-21" @default.
- W2949083934 modified "2023-09-27" @default.
- W2949083934 title "Combinatorial Invariance of Kazhdan-Lusztig-Vogan Polyomials for Fixed Point Free Involutions" @default.
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- W2949083934 hasPublicationYear "2016" @default.
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