Representation Theory: A First CourseAuthor: William Fulton, Joe Harris Published by Springer New York ISBN: 978-3-540-00539-1 DOI: 10.1007/978-1-4612-0979-9Table of Contents:Representations of Finite Groups Characters Examples; Induced Representations; Group Algebras; Real Representations Representations of Representations of Weyl’s Construction Lie Groups Lie Algebras and Lie Groups Initial Classification of Lie Algebras Lie Algebras in Dimensions One, Two, and Three Representations of sl2ℂ Representations of sl3ℂ, Part I Representations ofsl3ℂ, Part II: Mainly Lots of Examples The General Setup: Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebra sl4ℂ and slnℂ Symplectic Lie Algebras sp6ℂ and sp2nℂ Orthogonal Lie Algebras so6ℂ, so7ℂ and somℂ Spin Representations of