On the combinatorics of $B \times B$-orbits on group compactifications
| dc.creator | Chen, Yu | |
| dc.creator | Dyer, Matthew | |
| dc.date | 2002-10-20 | |
| dc.date.accessioned | 2026-07-07T04:52:10Z | |
| dc.date.available | 2026-07-07T04:52:10Z | |
| dc.description | It is shown that there is an order isomorphism $ϕ'$ from the poset $V$ of $B\times B$-orbits on the wonderful compactification of a semi-simple adjoint group $G$ with Weyl group $W$ to an interval in reverse Chevalley-Bruhat order on a non-canonically associated Coxeter group $\hat{W}$ (in general neither finite nor affine). Moreover, $ϕ'$ preserves the corresponding Kazhdan-Lusztig polynomials. Springer's (partly conjectural) construction of Kazhdan-Lusztig polynomials for the analogues of $V$ for general Coxeter groups $W$ is completed by reducing it by a similar order isomorphism to known results involving a ``twisted'' Chevalley-Bruhat order on $\hat{W}$. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210311 | |
| dc.identifier | http://arxiv.org/abs/math/0210311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65367 | |
| dc.subject | Representation Theory | |
| dc.subject | 22E47 | |
| dc.title | On the combinatorics of $B \times B$-orbits on group compactifications | |
| dc.type | text |