| 释义 |
- References
In mathematics, in the theory of finite groups, a Brauer tree is a tree that encodes the characters of a block with cyclic defect group of a finite group. In fact, the trees encode the group algebra up to Morita equivalence. Such algebras coming from Brauer trees are called Brauer tree algebras. {{harvtxt|Feit|1984}} described the possibilities for Brauer trees.References- {{Citation | last1=Feit | first1=Walter | author1-link=Walter Feit | title=Possible Brauer trees | url=http://projecteuclid.org/getRecord?id=euclid.ijm/1256046152 | mr=730710 | year=1984 | journal=Illinois Journal of Mathematics | issn=0019-2082 | volume=28 | issue=1 | pages=43–56}}
- {{Citation | last1=Hiss | first1=G. | last2=Lux | first2=K. | title=Brauer trees of sporadic groups | publisher=The Clarendon Press Oxford University Press | series=Oxford Science Publications | isbn=978-0-19-853381-8 | mr=1033265 | year=1989}}
- {{Citation | last=Alperin | first=J.L. | authorlink=Jonathan Lazare Alperin | title=Local representation theory. Modular representations as an introduction to local representation theory of finite groups | series=Cambridge Studies in Advanced Mathematics | volume=11 | location=Cambridge etc. | publisher=Cambridge University Press | year=1986 | isbn=0-521-44926-X | zbl=0593.20003 }}
{{abstract-algebra-stub}} 1 : Finite groups |