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math.RT2011★ 13 cited
Torsion pairs and rigid objects in tubes
Karin Baur, Aslak Bakke Buan, Bethany Marsh
We classify the torsion pairs in a tube category and show that they are in bijection with maximal rigid objects in the extension of the tube category containing the Pruefer and adi…
math.RA2011
Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras
Karin Baur, Volodymyr Mazorchuk
We study certain types of ideals in the standard Borel subalgebra of an untwisted affine Lie algebra. We classify these ideals in terms of the root combinatorics and give an explic…