By Martin Burrow
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This monograph brings jointly my paintings in mathematical statistics as i've got considered it during the lens of Jordan algebras. 3 technical domain names are to be obvious: purposes to random quadratic varieties (sums of squares), the research of algebraic simplifications of maxi mum chance estimation of patterned covariance matrices, and a extra extensive 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. seeing that this target is shared by means of numerous different books, we must always clarify during this Preface how our method differs, even though the aptitude reader can most likely see this higher via a short flick thru the ebook.
"A remarkably intelligible survey . . . good equipped, good written and intensely transparent all through. " — Mathematical ReviewsThis very good textual content, lengthy one among the best-written, such a lot skillful expositions of staff idea and its actual functions, is directed essentially to complex undergraduate and graduate scholars in physics, in particular quantum physics.
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