2014/05/08 by Kevin De Laet, De Laet, Kevin
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1405.1938
17 pages
openalex publication_date 2014/05/08 · arxiv created 2014/09/24 · arxiv updated 2014/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quantum plane A=ℂρ[x,y,z] with ρ a root of unity has singularities in its representation variety trepnA and its center Z(A). Using the technique of a noncommutative blow-up, we prove that this technique fails in contrast to the 3-dimensional Sklyanin algebras if we want to resolve the singularities in the representation variety. However, we will see that the singularity of the center in the origin can be made better using this technique.