|
|||||
|
|
|
|
|
|
|
|
|
Reduction of sets of
matrices to a triangular form
Indranand Sinha |
|
Vol. 15 (1965), No. 2, 673–679
|
Abstract |
|
A set Ω of n × n matrices is said to have Property T if the following two conditions are satisfied: (i) If Ω is looked upon as a set of linear transformations of a vector space V of dimension n then V has an Ω-decomposition into primary components; i.e. V = V 1 ⊕⋯ ⊕ V t, where the restrictions of the elements of Ω to any V i are primary linear transformations; and (ii) V has an Ω-composition series with 1-dimensional composition-factors. Our aim in this paper will be to characterize sets of nonsingular linear transformations having Property T. |
Mathematical Subject Classification
Primary: 14.50
Secondary: 20.75
|
Milestones
Received: 3 December 1963
Revised: 25 March 1964
Published: 1 June 1965
|
Authors |
| Indranand Sinha | |
|
