Multiplication of Vectors and Structure of 3D Euclidean Space
by Miroslav Josipovic
Publisher: viXra 2016
Number of pages: 70
This text is intended as a motivational survey of geometric algebra in 3D. The intention here was to use simple examples and reader is referred to the independent problem solving. The active reading of text is recommended, with paper and pencil in hand.
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by Alexander Kleshchev - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
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A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.
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This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory. The article is written to be accessible to graduate students. Numerous open questions are presented.
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The theory of toric varieties describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and interesting applications ...