第1回

日時

2019年4月23日(火) 17:30~18:30, 18:45~19:45

場所

I-siteなんば 2F S1 (I-siteなんばへは，地下鉄御堂筋線大国町駅が最寄りです．)

講演者

Bernard Leclerc氏(Université Caen Normandie)

タイトル

Cluster algebras and infinite-dimensional representations of Borel subalgebras of quantum affine algebras.

アブストラクト

Hernandez and Jimbo have introduced a category O of representations of a Borel subalgebra U_q(b) of a quantum affine algebra U_q(g). We consider some monoidal subcategories O^+ and O^- of O and show that they have a cluster structure with an initial seed given by the set of all prefundamental representations. (Joint work with David Hernandez.)