# Yangians and Classical Lie Algebras

### About this Title

**Alexander Molev**, *University of Sydney, Sydney, Australia*

Publication: Mathematical Surveys and Monographs

Publication Year
2007: Volume 143

ISBNs: 978-0-8218-4374-1 (print); 978-1-4704-1370-5 (online)

DOI: http://dx.doi.org/10.1090/surv/143

MathSciNet review: MR2355506

MSC: Primary 17B37; Secondary 16W35, 82B23

### Table of Contents

**Front/Back Matter**

**Chapters**

- 1. Yangian for $\mathfrak {gl}_N$
- 2. Twisted Yangians
- 3. Irreducible representations of $\mathrm {Y}(\mathfrak {gl}_N)$
- 4. Irreducible representations of $\mathrm {Y}(\mathfrak {g}_N)$
- 5. Gelfand-Tsetlin bases for representations of $\mathrm {Y}(\mathfrak {gl}_N)$
- 6. Tensor products of evaluation modules for $\mathrm {Y}(\mathfrak {gl}_N)$
- 7. Casimir elements and Capelli identities
- 8. Centralizer construction
- 9. Weight bases for representations of $\mathfrak {g}_N$