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Joint Algebra Seminar and AGANT Seminar
Date/Time/Room:
Tuesday (4/18/2006) at 1:00pm in 487 Pickard Hall "Weight modules with bounded weight multiplicities"Abstract: Let g be a finite dimensional simple Lie algebra over the field of complex numbers. In this talk we will focus on the category B of all bounded weight g-modules, i.e. those that are direct sum of their weight spaces and have uniformly bounded weight multiplicities. More precisely, we are interested in the classification of the indecomposable objects of B. A result of Fernando implies that bounded weight modules exist only for g=sl(n) and g =sp(2n). In the second case we show that B has enough projectives if and only if n>1 and is wild if and only if n>2. The case g=sl(n) is much more complicated as the description of each block of B depends on the type of the central character of the block.
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