By Shahn Majid
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The ebook is meant for graduate scholars of theoretical physics (with a historical past in quantum mechanics) in addition to researchers attracted to functions of Lie workforce idea and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.
The speculation of finite fields is a department of algebra that has come to the fore due to its different purposes in such components as combinatorics, coding idea and the mathematical learn of switching ciruits. This publication is dedicated totally to the idea of finite fields, and it presents accomplished insurance of the literature.
The research of sturdy teams connects version idea, algebraic geometry and workforce concept. It analyses teams which own a definite very common dependence relation (Shelah's idea of 'forking'), and attempts to derive structural houses from this. those might be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a bunch as an algebraic group), or model-theoretic (description of the definable sets).
This book's objective is to make obtainable ideas for learning Whitehead teams of finite teams, in addition to numerous comparable issues comparable to induction conception and p-adic logarithms. the writer has incorporated a long advent to set the scene for non-specialists who wish an summary of the sector, its background and its functions.
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