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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

11 votes
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One-Parameter Families of Indecomposable Representations of the Preprojective Algebra of typ...

I only know the answer for type A5. The smallest dimension-vector for a one-parameter family of indecomposable representations is (1, 2, 2, 2, 1). All the representations in the family have socle and …
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3 votes
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Reference for the Natural Ample Line Bundle on the Affine Grassmannian

You may look at Proposition 13.2.19 in S. Kumar's book "Kac-Moody Groups, their Flag Varieties and Representation Theory".
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