A CONSTRUCTION OF ALGEBRAS IN

Youngkwon Song (Korea)

Received December 21, 2007

References:

[1] W. C. Brown, Constructing maximal commutative subalgebras of matrix rings in small dimensions, Comm. Algebra 25(12) (1997), 3923-3946. [2] R. C. Courter, The dimension of maximal commutative subalgebras of Duke Math. J. 32 (1965), 225-232. [3] R. C. Courter, Maximal commutative subalgebras of at exponent three, Linear Algebra and Appl. 6 (1973), 1-11. [4] T. J. Laffey, The minimal dimension of maximal commutative subalgebras of full matrix algebras, Linear Algebra and Appl. 71 (1985), 199-212. [5] D. A. Suprunenko and R. I. Tyshkevich, Commutative Matrices, Academic Press, 1968. [6] Youngkwon Song, On the maximal commutative subalgebras of 14 by 14 matrices, Comm. Algebra 25(12) (1997), 3823-3840. [7] Youngkwon Song, Maximal commutative subalgebras of matrix algebras, Comm. Algebra 27(4) (1999), 1649-1663.

Keywords and phrases: compatible pair, maximal commutative subalgebra of matrix algebra.