DOAJ Open Access 2020

A noncommutative geometric LR rule

Edward Richmond Vasu Tewari Stephanie Van Willigenburg

Abstrak

The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian. Such rules were first given by Vakil and later generalized by Coskun. In this paper we give a noncommutative version of the geometric LR rule. As a consequence, we establish a geometric explanation for the positivity of noncommutative LR coefficients in certain cases.

Topik & Kata Kunci

Penulis (3)

E

Edward Richmond

V

Vasu Tewari

S

Stephanie Van Willigenburg

Format Sitasi

Richmond, E., Tewari, V., Willigenburg, S.V. (2020). A noncommutative geometric LR rule. https://doi.org/10.46298/dmtcs.6367

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6367
Informasi Jurnal
Tahun Terbit
2020
Sumber Database
DOAJ
DOI
10.46298/dmtcs.6367
Akses
Open Access ✓