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A Tour of Representation Theory
About this Title
Martin Lorenz, Temple University, Philadelphia, PA
Publication: Graduate Studies in Mathematics
Publication Year:
2018; Volume 193
ISBNs: 978-1-4704-3680-3 (print); 978-1-4704-4905-6 (online)
DOI: https://doi.org/10.1090/gsm/193
MathSciNet review: MR3837537
MSC: Primary 00-02; Secondary 16-02, 16G, 16T, 17-02, 20-02, 20C, 20G
Table of Contents
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Front/Back Matter
Algebras
Groups
Lie algebras
- Lie algebras and enveloping algebras
- Semisimple Lie algebras
- Root systems
- Representations of semisimple Lie algebras
Hopf algebras
- Coalgebras, bialgebras, and Hopf algebras
- Representations and actions
- Affine algebraic groups
- Finite-dimensional Hopf algebras
Appendices
- The language of categories and functors
- Background from linear algebra
- Some commutative algebra
- The Diamond Lemma
- The symmetric ring of quotients
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