In recent years, with the progress of mathematical physics, it becomes more and more important to study systems with infinite freedom. In [K], we studied the flag variety of Kac-Moody Lie algebras, as a typical case of an infinite-dimensional manifold. By that study, it is revealed that the most natural language of scheme introduced by A. Grothendieck is again the most appropriate algebraic tool to deal with an infinite-dimensional manifold.
Exact Sequence Verma Module High Weight Vector Flag Variety Flag Manifold
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