On this page we present some addenda to the book

Symmetries, Lie algebras and Representations

by Jürgen Fuchs and Christoph Schweigert, published by Cambridge University Press.

If you have any suggestion for further addenda, feel free to send mail to the authors.


List of addenda

  • The Weyl group of non-simply laced finite-dimensional simple Lie algebras (ps, pdf).


  • About self-conjugate modules of finite-dimensional simple Lie algebras: a criterion to decide whether such a module is orthogonal or symplectic, and the definition of the Frobenius-Schur indicator (ps, pdf).


  • A word of warning for those who have been exposed to category theory that epimorphisms are in general (small) categories not quite the same as surjective morphisms (ps, pdf).


  • About some consequences of the Peter-Weyl theorem. This addendum also corrects an erroneous statement in Chapter 21, Section 9 of the book (ps, pdf).


  • A word of warning about semi-simplicity and Lie superalgebras (ps, pdf).


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    Last modified: 03 November 1997 -->