The elementary polynomials in noncommuting variables
Samuel S. Holland
Abstract
We study the ring generated over a field of characteristic 0 by noncommuting indeterminates x1,x2,...,xn subject only to the relations xiσk=σk xi, for i,k=1,2,...,n, and their consequences, where σk =σk(x1,x2,...,xn) is the k-th elementary polynomial in the noncommuting variables xi. We assume n≥ 3 throughout.
Create a lesson
Related papers
On Jordan nilpotency of index n in group rings
Osnel B. Cristo, Mariana G. Cornelissen, Rodrigo L. Rodrigues
High-Degree Restricted Cohomology for K(3;1)(1) in Characteristics Five and Seven
Chao Ma
Identities of Representation of Lie subalgebras of the first Weyl algebra
Vyacheslav Futorny, Plamen Koshlukov, João Fernando Schwarz
Homology and Topology of Partially Ordered Fields
Hanzhen Bao
Hopf algebra polynomial identities in the Sweedler algebra
Alexey Gordienko, Maria Morozova
Resolvent comparison for Hermitian block matrices and Kelmans transformations
Xianhao Meng, Zhijun Xu, Zhiyuan Zhang