DOAJ Open Access 2013

A $t$-generalization for Schubert Representatives of the Affine Grassmannian

Avinash J. Dalal Jennifer Morse

Lihat Sumber DOI

Abstrak

We introduce two families of symmetric functions with an extra parameter $t$ that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when $t=1$. The families are defined by a statistic on combinatorial objects associated to the type-$A$ affine Weyl group and their transition matrix with Hall-Littlewood polynomials is $t$-positive. We conjecture that one family is the set of $k$-atoms.

Topik & Kata Kunci

Mathematics

Penulis (2)

Avinash J. Dalal

Jennifer Morse

Format Sitasi

APA MLA BibTeX

Dalal, A.J., Morse, J. (2013). A $t$-generalization for Schubert Representatives of the Affine Grassmannian. https://doi.org/10.46298/dmtcs.2371

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2371

Informasi Jurnal

Tahun Terbit: 2013
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2371
Akses: Open Access ✓