Mathematical Sciences: Cohomological and Arithmetic         Interpretation of Spectra on Certain Symmetric Spaces
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This project is mathematical research in the representation                theory of (semisimple) Lie groups.  A suitable example of the                   latter is the group of rotations of a sphere.  Groups like this                 are important because they occur in many areas of mathematics                   (e.g. geometry, differential equations,algebraic number theory,                 mathematical physics) as groups of symmetries.  Representation                  theory allows one to take advantage of symmetries in solving                    problems.                                                                            More specifically, the situation is that of a Lie group                    acting on its quotient modulo a lattice, and thus on the space of               square-integrable functions on the quotient.  The aim is to                     obtain the multiplicities in this representation of certain                     irreducible unitary representations of the group, particularly                  limits of discrete series representations.
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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