We give an explicit and entirely poset-theoretic way to compute, for any permutation v, all the Kazhdan-Lusztig polynomials P-x,P-y for x, y less than or equal to v, starting from the Bruhat interval [e, v] as an abstract poset. This proves, in particular, that the intersection cohomology of Schubert varieties depends only on the inclusion relations between the closures of its Schubert cells. (C) 2003 Elsevier Ltd. All rights reserved.
Brenti, F. (2004). The intersection cohomology of Schubert varieties is a combinatorial invariant. EUROPEAN JOURNAL OF COMBINATORICS, 25(8), 1151-1167 [10.1016/j.ejc.2003.10.011].
The intersection cohomology of Schubert varieties is a combinatorial invariant
BRENTI, FRANCESCO
2004-01-01
Abstract
We give an explicit and entirely poset-theoretic way to compute, for any permutation v, all the Kazhdan-Lusztig polynomials P-x,P-y for x, y less than or equal to v, starting from the Bruhat interval [e, v] as an abstract poset. This proves, in particular, that the intersection cohomology of Schubert varieties depends only on the inclusion relations between the closures of its Schubert cells. (C) 2003 Elsevier Ltd. All rights reserved.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
