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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 ...
Curvature Calculations Of The Operators In Cowen-Douglas Class
(2014-03-03)
In a foundational paper “Operators Possesing an Open Set of Eigenvalues” written several decades ago, Cowen and Douglas showed that an operator T on a Hilbert space ‘H possessing an open set Ω C of eigenvalues determines ...
Grothendieck Inequality
(2016-06-20)
Grothendieck published an extraordinary paper entitled ”Resume de la theorie metrique des pro¬duits tensoriels topologiques” in 1953. The main result of this paper is the inequality which is commonly known as Grothendieck ...