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7.3.16 nc_algebra

Syntax:

nc_algebra( matrix_expression C, matrix_expression D )
nc_algebra( number_expression n, matrix_expression D )
nc_algebra( matrix_expression C, poly_expression p )
nc_algebra( number_expression n, poly_expression p )
Type:
ring
Purpose:
Executed in the basering r, say, in k variables nc_algebra creates and returns the non-commutative extension of r subject to relations triangular matrices C with entries from the ground field of r and D with (commutative) polynomial entries from r. See all the details in G-algebras.
If one can input the number n instead of matrix C.
If one can input the polynomial p instead of matrix D.

Note: The returned ring should be activated afterwards, using the command setring.

Remark:
At present, PLURAL does not check the non-degeneracy conditions (see G-algebras) while setting an algebra.

Example:
 
See also ncalg_lib; nctools_lib; qmatrix_lib.


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            User manual for Singular version 3-1-6, Dec 2012, generated by texi2html.