Titlebook: Basic Theory of Algebraic Groups and Lie Algebras; Gerhard P. Hochschild Textbook 1981 Springer-Verlag New York Inc. 1981 Algebraische Gru

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Affine Algebraic Sets and Groups,ulminating in Hilbert’s Nullstellensatz. Section 4 applies this to yield an important tool theorem about polynomial maps between algebraic groups, and then establishes the principal general result concerning factor groups of algebraic groups.

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Textbook 1981y, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus an ideally suitable framework for exhibiting basic algebra in action. To do that is the principal concern of this text. Accordingly, its emphasis is on developing the major general mathematical t

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Textbook 1981ation of the content and organisation of this book. Each chapter begins with a brief announcement of its results and ends with a few notes ranging from supplementary results, amplifications of proofs, examples and counter-examples through exercises to references. The references are intended to be me

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The QCD Phase Diagram from the Lattice in an algebraic group. The main result of Section 2 is the fact that algebraic subgroups are determined by their semi-invariants in the algebra of polynomial functions of the containing group. Section 3 contains the fundamental results on homomorphisms from commutative algebras to the base field, c