NOTE ON SIMPLE LIE ALGEBRAS OF INFINITE MATRICES
Journal Title: Silesian Journal of Pure and Applied Mathematics - Year 2016, Vol 6, Issue 1
Abstract
We introduce Lie algebras of infinite N × N matrices, with coefficients in a commutative rings, which have nonzero entries only in finite number of rows and study its properties. We show that algebra of matrices with trace 0 is uncountably dimensional simple Lie algebra for any ground field.
Authors and Affiliations
Waldemar Hołubowski, Sebastian Żurek
Keywords
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