Algebra 2 Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier /

• Main Author: Lal, Ramji (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Infosys Science Foundation Series,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Group theory.; Matrix theory.; Algebra.; Nonassociative rings.; Number theory.; Linear and Multilinear Algebras, Matrix Theory.; Associative Rings and Algebras.; Commutative Rings and Algebras.; Non-associative Rings and Algebras.; Group Theory and Generalizations.; Number Theory.

This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does n...

Table of Contents:

• Chapter 1. Vector Space
• Chapter 2. Matrices and Linear Equations
• Chapter 3. Linear Transformations
• Chapter 4. Inner Product Space
• Chapter 5. Determinants and Forms
• Chapter 6. Canonical Forms, Jordan and Rational Forms
• Chapter 7. General Linear Algebra
• Chapter 8. Field Theory, Galois Theory
• Chapter 9. Representation Theory of Finite Groups
• Chapter 10. Group Extensions and Schur Multiplier.