Noncommutative Hamiltonian structures and quantizations on preprojective algebras

Autor:	Zhao, Hu
Rok vydání:	2023
Předmět:	Mathematics - Quantum Algebra Mathematical Physics Mathematics - Rings and Algebras Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	Given a noncommutative Hamiltonian space $A$, we show that the conjecture ``{\it quantization commutes with reduction}'' holds on $A$. We also construct a semi-product algebra $A \rtimes \mG^A$, equivariant sheaves on the representation space are related to left $A \rtimes \mG^A$-modules. In the quiver setting, via the quantum and classical trace maps, we establish the explicit correspondence between quantizations on a preprojective algebra and those on a quiver variety.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.17578 Zobrazit plný text záznamu View this record from Arxiv