By Alexander Lubotzky
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This monograph brings jointly my paintings in mathematical records as i've got seen it throughout the lens of Jordan algebras. 3 technical domain names are to be obvious: purposes to random quadratic kinds (sums of squares), the research of algebraic simplifications of maxi mum chance 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 target of those lectures is to introduce a newbie to the finite dimensional representations of Lie teams and Lie algebras. considering the fact that this target is shared by way of numerous different books, we must always clarify during this Preface how our method differs, even though the capability reader can most likely see this greater by means of a brief flick thru the e-book.
"A remarkably intelligible survey . . . good equipped, good written and extremely 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, particularly quantum physics.
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