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Lecture notes on Geometric Crystals and their combinatorial analogues
Arkady Berenstein, David Kazhdan
This is an exposition of the results on Geometric crystals and the associated Kashiwara crystal bases (presented by the first author in RIMS, August 2004)
math.QA2006
Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases
Arkady Berenstein, David Kazhdan
For each reductive algebraic group G we introduce and study unipotent bicrystals which serve as a regular version of birational geometric and unipotent crystals introduced earlier…