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An Algorithmic Approach To Crystallographic Coxeter Groups
(2013-02-14)
Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. It turns out that the finite Coxeter groups are precisely the finite Euclidean reflection ...
Irreducible Representations Of The Symmetric Group And The General Linear Group
(2013-01-31)
Representation theory is the study of abstract algebraic structures by representing their elements as linear transformations or matrices. It provides a bridge between the abstract symbolic mathematics and its explicit ...