Representations of Quiver Hecke Algebras via Lyndon Bases

Details Representations of Quiver Hecke Algebras via Lyndon Bases Representations of Quiver Hecke Algebras via Lyndon Bases

2009-12-10

arxiv.org/abs/0912.2067v2

Mathematics

Representation Theory

37 pages

Scientific paper

A new class of algebras have been introduced by Khovanov and Lauda and independently by Rouquier. These algebras categorify one-half of the Quantum group associated to arbitrary Cartan data. In this paper, we use the combinatorics of Lyndon words to construct the irreducible representations of those algebras associated to Cartan data of finite type. This completes the classification of simple modules for the quiver Hecke algebra initiated by Kleshchev and Ram.

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