A construction of an iterated Ore extension

2017/07/17 by No-Ho Myung, Myung, No-Ho, Sei‐Qwon Oh +1
Mathematics · #16S36 #17B63 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1707.05160

openalex publication_date 2017/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let B be a Poisson algebra \Bbb C[x₁,…, x_k] with Poisson bracket such that \x_j,x_i\=c_jix_ix_j+p_ji for all j>i, where c_ji∈\Bbb C and p_ji∈\Bbb C[x₁,…,x_i]. Here we obtain an iterated skew polynomial algebra such that its semiclassical limit is equal to B and the results are illustrated by examples.

Citations

• Automorphism groups of Weyl algebras

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