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This monograph brings jointly my paintings in mathematical information as i've got considered it in the course of the lens of Jordan algebras. 3 technical domain names are to be obvious: functions to random quadratic types (sums of squares), the research of algebraic simplifications of maxi mum probability estimation of patterned covariance matrices, and a extra broad open mathematical exploration of the algebraic area from which i've got drawn the implications utilized in the statistical difficulties simply pointed out.
The first aim of those lectures is to introduce a newbie to the finite dimensional representations of Lie teams and Lie algebras. considering that this objective is shared by way of a number of different books, we must always clarify during this Preface how our procedure differs, even though the capability reader can most likely see this larger by way of a short flick thru the publication.
"A remarkably intelligible survey . . . good equipped, good written and extremely transparent all through. " — Mathematical ReviewsThis first-class textual content, lengthy one among the best-written, such a lot skillful expositions of crew idea and its actual purposes, is directed essentially to complicated undergraduate and graduate scholars in physics, specially quantum physics.
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