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During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig- nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy- namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and...