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math.RT2005
Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0
Georgia Benkart, Igor Frenkel, Seok-Jin Kang +1
We present a uniform construction of level 1 perfect crystals for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit descr…
math.RT2005
The centroid of extended affine and root graded Lie algebras
Georgia Benkart, Erhard Neher
We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie alge…