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Lecture notes on Nichols algebras
This note contains below topics, Preliminaries on Lie algebras, Preliminaries on braided tensor categories, Preliminaries on quantum groups, Nichols algebras, Nichols algebras via quantum symmetrizer, Categorical algebras, Quantum symmetrizer, First examples, Nichols algebras as universal Hopf algebras, Categorical Hopf algebras, Root systems, Root system from Nichols algebras, Axiomatization of generalized root systems, Hyperplane arrangements, Cartan graph and Weyl groupoid, Classification in Rank 2.
Author(s): Simon D. Lentner
93 Pages
A Treatise on Elementary and Higher Algebra
This note explains the following topics, Subtraction, Division, Elimination by comparison, General rule for extracting any root of a polynomial, Multiplication and division of surds, First and second rule for quadratic equations, Properties of the roots of quadratic equations, Binomial and multinomial Theorem demonstrated, Summation ofin and
Author(s): Theodore Strong
NA Pages
Higher algebra a sequel to elementary algebra for schools
This book is intended as a sequel to our Elementary Algebra for Schools. The first few chapters are devoted to a fuller discussion of Ratio, Proportion, Variation, and the Progressions, and then introduced theorems with examples.
Author(s): Henry Sinclair Hall, Samuel Ratcliff Knight
593 Pages
This book explains the following topics, Groups, The Sylow theorems, The JordanHolder theorem and solvable groups, Free groups and free products, Modules, Localization of rings and modules, Free modules and rank, Infinite Galois theory, Cyclotomic fields, Kummer Theory, Cyclic Galois extensions, Calculation of Galois groups.
Author(s): Eyal Z. Goren, Mcgill University
94 Pages
