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math.RT2011
Construction of Irreducible Representations over Khovanov-Lauda-Rouquier Algebras of Finite Classical Type
Georgia Benkart, Seok-Jin Kang, Se-jin Oh +1
We give an explicit construction of irreducible modules over Khovanov-Lauda-Rouquier algebras and their cyclotomic quotients for finite classical types using a crystal ba…
math.RT2011
Categorification of Quantum Generalized Kac-Moody Algebras and Crystal Bases
Seok-Jin Kang, Se-jin Oh, Euiyong Park
We construct and investigate the structure of the Khovanov-Lauda-Rouquier algebras and their cyclotomic quotients which give a categrification of quantum generalized Kac-…