PIRSA:20060028

Singularities of Schubert varieties within a right cell

APA

Lanini, M. (2020). Singularities of Schubert varieties within a right cell. Perimeter Institute. https://pirsa.org/20060028

MLA

Lanini, Martina. Singularities of Schubert varieties within a right cell. Perimeter Institute, Jun. 22, 2020, https://pirsa.org/20060028

BibTex

          @misc{ pirsa_20060028,
            doi = {10.48660/20060028},
            url = {https://pirsa.org/20060028},
            author = {Lanini, Martina},
            keywords = {Mathematical physics},
            language = {en},
            title = {Singularities of Schubert varieties within a right cell},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060028 see, \url{https://pirsa.org}}
          }
          

Martina Lanini Università degli Studi di Roma Tor Vergata

Abstract

We describe an algorithm which takes as input any pair of permutations and gives as output two permutations lying in the same Kazhdan-Lusztig right cell. There is an isomorphism between the Richardson varieties corresponding to the two pairs of permutations which preserves the singularity type. This fact has applications in the study of W-graphs for symmetric groups, as well as in finding examples of reducible associated varieties of sln-highest weight modules, and comparing various bases of irreducible representations of the symmetric group or its Hecke algebra. This is joint work with Peter McNamara.