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arXiv · 1401.0845

Fully commutative elements of type D and homogeneous representations of KLR-algebras

Gabriel Feinberg·Kyu-Hwan Lee
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Abstract

In this paper, we decompose the set of fully commutative elements into natural subsets when the Coxeter group is of type $D_n$, and study the combinatorics of these subsets, revealing hidden structures. (We do not consider type $A_n$ first, since a similar decomposition for type $A_n$ is trivial.) As an application, we classify and enumerate the homogeneous representations of the Khovanov-Lauda-Rouquier algebras of type $D_n$.

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BibTeXRIS

Gabriel Feinberg, Kyu-Hwan Lee. 2014-01-04. Fully commutative elements of type D and homogeneous representations of KLR-algebras. https://arxiv.org/abs/1401.0845

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