DOAJ Open Access 2020

Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)

Maki Nakasuji Hiroshi Naruse

Lihat Sumber DOI

Abstrak

We generalize the definition of Yang-Baxter basis of type A Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75–90) to all the Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of p-adic groups.

Topik & Kata Kunci

Mathematics

Penulis (2)

Maki Nakasuji

Hiroshi Naruse

Format Sitasi

APA MLA BibTeX

Nakasuji, M., Naruse, H. (2020). Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract). https://doi.org/10.46298/dmtcs.6370

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6370

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6370
Akses: Open Access ✓