---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/RepresentationsOfLieGroupsAndAlgebras/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/RepresentationsOfLieGroupsAndAlgebras/bibliography.md"
part: "Lie Theory"
chapter: "Representations of Lie Groups and Algebras"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Lie Theory", "source": "../index-lie-theory.md"}
  - {"title": "Representations of Lie Groups and Algebras", "source": "index-representations-of-lie-groups-and-algebras.md"}
prev: {"title": "Subalgebras of su(d)", "source": "sub-subsu.md"}
next: {"title": "Commutative Algebra", "source": "../../CommutativeAlgebra/index-commutative-algebra.md"}
---

# Bibliography

<a id="cite-andersen"></a>
- **[And77]** C.M. Andersen. Clebsch-Gordan Series for symmetrized tensor products. *J. Math. Phys*, 8:988–997, 1977.
<a id="cite-cohenmurraytaylor"></a>
- **[CMT04]** Arjeh M. Cohen, Scott H. Murray, and D. E. Taylor. Computing in groups of Lie type. *Math. Comp.*, 73(247):1477–1498, 2004.
<a id="cite-wdg-lie-hwrep"></a>
- **[dG01]** W. A. de Graaf. Constructing representations of split semisimple Lie algebras. *J. Pure Appl. Algebra*, 164(1-2):87–107, 2001. Effective methods in algebraic geometry (Bath, 2000).
<a id="cite-wdg-lie-alg"></a>
- **[dG00]** W.A. de Graaf. *Lie Algebras: Theory and Algorithms*. Number 56 in North-Holland Mathematical Library. Elsevier, 2000.
<a id="cite-dynkin57"></a>
- **[Dyn57]** E. B. Dynkin. Maximal Subgroups of the Classical Groups. *Amer. Math. Soc. Transl. Ser. 2*, 6:245–378, 1957.
<a id="cite-fms1997"></a>
- **[FMS97]** Philippe Di Francesco, P. Mathieu, and D. Sénéchal. *Conformal Field Theory*. Graduate texts in contemporary physics. Springer, 1997. ISBN 9780387947853. URL: [http://books.google.com/books?id=keUrdME5rhIC](http://books.google.com/books?id=keUrdME5rhIC).
<a id="cite-james-kerber"></a>
- **[JK81a]** G. James and A. Kerber. *The Representation Theory of the Symmetric Group*. Addison-Weasly, Reading MA, 1981.
<a id="cite-kazhdan-lusztig"></a>
- **[KL79]** D. Kazhdan and G. Lusztig. Representations of Coxeter groups and Hecke algebras. *Inventiones Math.*, 53:165–184, 1979.
<a id="cite-moodypatera1982"></a>
- **[MP82]** R. V. Moody and J. Patera. Fast recursion formula for weight multiplicities. *Bull. Amer. Math. Soc. (N.S.)*, 7(1):237–242, 1982. URL: [https://doi.org/10.1090/S0273-0979-1982-15021-2](https://doi.org/10.1090/S0273-0979-1982-15021-2), [doi:10.1090/S0273-0979-1982-15021-2](https://doi.org/10.1090/S0273-0979-1982-15021-2).
<a id="cite-leeuwen-cohen-lisser"></a>
- **[vLCL92]** M.A.A. van Leeuwen, A.M. Cohen, and B. Lisser. *LiE, A package for Lie Group Computations*. CAN, Amsterdam, 1992.
<a id="cite-zs11"></a>
- **[ZSH11]** Robert Zeier and Thomas Schulte–Herbrüggen. Symmetry principles in quantum systems theory. *Journal of Mathematical Physics*, 52(11):113510, 2011.