117,729 research outputs found
On the Classification Problem for Rank 2 Torsion-Free Abelian Groups
We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (Q^n, +), for some n = 1, 2, 3,.... The torsion-free abelian groups of rank ≤ n are the subgroups of (Q^n, +)
Representation theory and cohomology of Khovanov-Lauda-Rouquier algebras
This expository paper is based on the lectures given at the program `Modular
Representation Theory of Finite and -adic Groups' at the National University
of Singapore. We are concerned with recent results on representation theory and
cohomology of KLR algebras, with emphasis on standard module theory.Comment: arXiv admin note: text overlap with arXiv:1210.655
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