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NCAlgebra :: centralElements

centralElements -- Finds central elements in a given degree

Synopsis

Usage:
centralElements(A,n)
Inputs:
- A, an object of class NCRing
- n, an integer, the homogeneous degree in which to compute central elements
Outputs:
- an object of class NCMatrix

Description

If the given NCRing 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})
--Calling Bergman for NCGB calculation.
--running: bergman -i /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12420-0/0.init -on-error exit --silent > /var/folders/46/9b86vqxj4hjcngvy7kd7sb140000gn/T/M2-12420-0/3.ter ... Complete!

o1 = B

o1 : NCQuotientRing

i2 : centralElements(B,2)

     |  2          2 |
o2 = | x   yx+xy  y  |

o2 : NCMatrix

i3 : centralElements(B,3)

     |  3          3 |
o3 = | y -yxz+xyz-x  |

o3 : NCMatrix

Ways to use `centralElements` :

centralElements(NCRing,ZZ)