DOAJ Open Access 2011

Demazure crystals and the energy function

Anne Schilling Peter Tingley

Lihat Sumber DOI

Abstrak

There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically chosen isomorphism. Here we show that this isomorphism intertwines the natural affine grading on Demazure crystals with a combinatorially defined energy function. As a consequence, we obtain a formula of the Demazure character in terms of the energy function, which has applications to nonsymmetric Macdonald polynomials and $q$-deformed Whittaker functions.

Topik & Kata Kunci

Mathematics

Penulis (2)

Anne Schilling

Peter Tingley

Format Sitasi

APA MLA BibTeX

Schilling, A., Tingley, P. (2011). Demazure crystals and the energy function. https://doi.org/10.46298/dmtcs.2959

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2959

Informasi Jurnal

Tahun Terbit: 2011
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2959
Akses: Open Access ✓