The Algebra of Invariants
by J.H. Grace, A. Young
Publisher: Cambridge, University Press 1903
Number of pages: 404
Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. The object of this book is to provide an English introduction to the symbolical method in the theory of Invariants.
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by Florin Felix Nichita (ed.) - MDPI AG
Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.
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The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.
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Contents: Central extensions; Virasoro algebra; Heisenberg algebra; Enveloping algebras; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras.
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