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The locally finite part of the dual coalgebra of quantized irreducible flag manifolds

The locally finite part of the dual coalgebra of quantized irreducible flag manifolds

For quantized irreducible flag manifolds the locally finite part of the dual coalgebra is shown to coincide with a natural quotient coalgebra U ¯ of Uq g. On the way the coradical filtration of U ¯ is determined. A graded version of the duality between U ¯ and the quantized …