A multiplicative property of quantum flag minors
Philippe Caldero
Abstract
We study multiplicative properties of the (quantum) dual canonical basis B* associated to a semi-simple complex Lie group G. We provide a subset D of B* such that the following property holds : if two elements b, b' in B* q-commute and if one of these elements is in D, then the product bb' is in B* up to a power of q, where q the quantum parameter. If G is SLn, then D is the set of so-called quantum flag minors and we obtain a generalization of a result of Leclerc-Nazarov-Thibon, see ArXiv:Math.QA/0011074.
Create a lesson
Related papers
Representations of formal Lie groups and Lie pairs
Fulin Chen, Binyong Sun, Chuyun Wang
Unitary Branching for sl(m n), osp(m 2n) and F(4)
Steffen Schmidt
A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
Ming Ding, Fan Xu, Panyue Zhou
A Comparison Theorem for Parahoric Character Sheaves
Zhihang Yu
On the Hiraga-Ichino-Ikeda conjecture on formal degrees for G2
Yugo Takanashi
The Arthur-Packet Support Equality for Real Reductive Groups
Jiawei Yang