Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
matrix_of_variables()
This method provides some backward compatibility for Cayley tables of groups, whose output was restricted
to this single format.
EXAMPLES:
The output here is from the doctests for the old cayley_table() method for permutation groups.
sage: from sage.matrix.operation_table import OperationTable
sage: G=PermutationGroup([’(1,2,3)’, ’(2,3)’])
sage: T=OperationTable(G, operator.mul)
sage: T.matrix_of_variables()
[x0 x1 x2 x3 x4 x5]
[x1 x0 x3 x2 x5 x4]
[x2 x4 x0 x5 x1 x3]
[x3 x5 x1 x4 x0 x2]
[x4 x2 x5 x0 x3 x1]
[x5 x3 x4 x1 x2 x0]
sage: T.column_keys()[3]*T.column_keys()[3] == T.column_keys()[4]
True
row_keys()
Returns a tuple of the elements used to build the table.
Note: column_keys and row_keys are identical. Both list the elements in the order used to label the
table.
OUTPUT:
The elements of the algebraic structure used to build the table, as a list. But most importantly, elements
are present in the list in the order which they appear in the table’s column headings.
EXAMPLES:
sage: from sage.matrix.operation_table import OperationTable
sage: G=AlternatingGroup(3)
sage: T=OperationTable(G, operator.mul)
sage: T.column_keys()
((), (1,2,3), (1,3,2))
set_print_symbols(ascii, latex)
Set the symbols used for text and LaTeX printing of operation tables.
INPUT:
•ascii - a single character for text table
•latex - a string to represent an operation in LaTeX math mode. Note the need for double-backslashes
to escape properly.
EXAMPLE:
sage: from sage.matrix.operation_table import OperationTable
sage: G=AlternatingGroup(3)
sage: T=OperationTable(G, operator.mul)
sage: T.set_print_symbols(’@’, ’\\times’)
sage: T
@ a b c
+------
a| a b c
b| b c a
410 Chapter 23. Operation Tables