Quiver Hecke Algebras and 2-Lie Algebras
Keyword(s):
We provide an introduction to the 2-representation theory of Kac-Moody algebras, starting with basic properties of nil Hecke algebras and quiver Hecke algebras, and continuing with the resulting monoidal categories, which have a geometric description via quiver varieties, in certain cases. We present basic properties of 2-representations and describe simple 2-representations, via cyclotomic quiver Hecke algebras, and through microlocalized quiver varieties.
2004 ◽
Vol 7
(4)
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pp. 457-469
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1985 ◽
Vol 315
(1533)
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pp. 391-391
1992 ◽
Vol 152
(2)
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pp. 492-513
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2000 ◽
Vol 122
(2)
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pp. 211-228
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Keyword(s):
2001 ◽
Vol 03
(04)
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pp. 533-548
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