Remarks on quantum unipotent subgroup and dual canonical basis

Abstract

We prove the tensor product decomposition of the half of quantized universal enveloping algebra associated with a Weyl group element which was conjectured by Berenstein and Greenstein.

17 pages

References in corpus (3)

• PBW bases and KLR algebras
• Double canonical bases
• Representations of quantized function algebras and the transition matrices from Canonical bases to PBW bases

Cited by in corpus (6)

• Double canonical bases
• Quantum twist maps and dual canonical bases
• Integral quantum cluster structures
• Root of unity quantum cluster algebras and discriminants
• Canonical bases of quantum Schubert cells and their symmetries
• Quantized nilradicals of parabolic subalgebras of $\mathfrak{sl}(n)$ and algebras of coinvariants