DOAJ Open Access 2014

Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials

Francesco Brenti Fabrizio Caselli

Abstrak

We obtain a nonrecursive combinatorial formula for the Kazhdan-Lusztig polynomials which holds in complete generality and which is simpler and more explicit than any existing one, and which cannot be linearly simplified. Our proof uses a new basis of the peak subalgebra of the algebra of quasisymmetric functions.

Topik & Kata Kunci

Penulis (2)

F

Francesco Brenti

F

Fabrizio Caselli

Format Sitasi

Brenti, F., Caselli, F. (2014). Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials. https://doi.org/10.46298/dmtcs.2423

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2423
Informasi Jurnal
Tahun Terbit
2014
Sumber Database
DOAJ
DOI
10.46298/dmtcs.2423
Akses
Open Access ✓