By Alfred G. Noel, Donald R. King, Gaston M. N'Guerekata, Edray H. Goins (ed.)
This quantity includes articles in keeping with talks offered on the 13th convention of African American Researchers within the Mathematical Sciences (CAARMS), held at Northeastern college and the collage of Massachusetts, Boston on June 19-22, 2007. The illustration conception of Lie teams and its functions have been a huge concentration of the talks. an summary is incorporated of the hot achievements of the Atlas of Lie teams undertaking and the paintings that is still to be performed by way of the Atlas undertaking to completely comprehend the unitary representations of reductive teams. different articles spotlight the importance of medical computing in Lie idea and purposes of the illustration conception of Lie teams to the physics of black holes.This quantity comprises learn papers now not relating to Lie conception: one at the geometry of coisotropic submanifolds of Poisson manifolds and one on fresh effects at the constitution of the set of ultrafilters at the selection of finite subsets of an unlimited set. It concludes with a survey of CAARMS12 members. For volumes in accordance with prior 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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