# centralElements -- Finds central elements in a given degree

## Synopsis

• Usage:
centralElements(A,n)
• Inputs:
• A, a ring,
• n, an integer, the homogeneous degree in which to compute central elements
• Outputs:
• ,

## Description

If the given noncommutative ring has central elements of the specified degree, this method returns a basis for the space of central elements in that degree.

 i1 : B = threeDimSklyanin(QQ,{1,1,-1},{x,y,z}) Using numthreads = 0 o1 = B o1 : FreeAlgebraQuotient i2 : centralElements(B,2) o2 = | y2 yz+zy z2 | 1 3 o2 : Matrix B <--- B i3 : centralElements(B,3) o3 = | -y3+yzx-zyx+z3 | 1 1 o3 : Matrix B <--- B

## Ways to use centralElements :

• "centralElements(Ring,ZZ)"

## For the programmer

The object centralElements is .