By Alfred G. Noel, Donald R. King, Gaston M. N'Guerekata, Edray H. Goins (ed.)
This quantity comprises articles in line with talks provided on the 13th convention of African American Researchers within the Mathematical Sciences (CAARMS), held at Northeastern collage and the collage of Massachusetts, Boston on June 19-22, 2007. The illustration conception of Lie teams and its purposes have been a huge concentration of the talks. an summary is incorporated of the new achievements of the Atlas of Lie teams undertaking and the paintings that is still to be performed by way of the Atlas venture to completely comprehend the unitary representations of reductive teams. different articles spotlight the importance of clinical computing in Lie idea and functions of the illustration thought of Lie teams to the physics of black holes.This quantity comprises study papers no longer concerning Lie idea: one at the geometry of coisotropic submanifolds of Poisson manifolds and one on contemporary effects at the constitution of the set of ultrafilters at the number of finite subsets of an enormous set. It concludes with a survey of CAARMS12 individuals. For volumes in accordance with past CAARMS complaints, see: ""African american citizens in Mathematics"" (volume 34 within the ""AMS"" sequence, DIMACS), ""African american citizens in arithmetic: quantity II"" (volume 252 within the ""AMS"" sequence ""Contemporary Mathematics""), ""African american citizens within the Mathematical Sciences: quantity III"" (volume 275 within the ""Contemporary Mathematics"" sequence) and quantity IV (volume 284 within the ""Contemporary Mathematics"" sequence)
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