Distinguished bases of \(\text{sl}(n,\mathbb C)\) and their symmetries. (English) Zbl 1067.17501
Kapuscik, Edward (ed.) et al., Quantum theory and symmetries. Proceedings of the 2nd international symposium, Kraków, Poland, July 18–21, 2001. Singapore: World Scientific (ISBN 981-02-4887-3). 366-370 (2002).
Summary: Fine gradings of simple Lie algebras determine their distinguished bases. Certain subgroups of automorphisms yield the symmetries of these bases. Complete description of the bases and their symmetries is given for \(\text{sl}(2,\mathbb C)\) and \(\text{sl}(3,\mathbb C)\).
For the entire collection see [Zbl 1066.81504].
For the entire collection see [Zbl 1066.81504].
MSC:
| 17B20 | Simple, semisimple, reductive (super)algebras |
