Spectra of quantum algebras

2022/11/27 by Goodearl, K. R.
#FOS: Mathematics #Primary 16T20 #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #secondary 20G42

paper · doi:10.48550/arxiv.2211.14967

Abstract

This is a survey of what is known and/or conjectured about the prime and primitive spectra of quantum algebras, of quantized coordinate rings in particular. The topological structure of these spectra, their relations to classical affine algebraic varieties, and their relations to each other are discussed.

Related

• Quantized coordinate rings and related noetherian algebras
• Prime spectra of quantized coordinate rings
• The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces
• Zariski topologies on stratified spectra of quantum algebras
• Poisson Ideals in Cluster Algebras and the Spectra of Quantized Coordinate Rings