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math.QA1999
Geometric and unipotent crystals
Arkady Berenstein, David Kazhdan
In this paper we introduce geometric crystals and unipotent crystals which are algebro-geometric analogues of Kashiwara's crystal bases. Given a reductive group G, let I be the set…
math.QA1998
Quantization of Lie bialgebras, V
Pavel Etingof, David Kazhdan
This paper is a continuation of "Quantization of Lie bialgebras I-IV". The goal of this paper is to define and study the notion of a quantum vertex operator algebra in the setting…
math.QA1998
Quantization of Lie bialgebras, IV
Pavel Etingof, David Kazhdan
This paper is a continuation of "Quantization of Lie bialgebras, III" (q-alg/9610030, revised version). In QLB-III, we introduced the Hopf algebra F(R)_\z associated to a quantum R…