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Sorbonne Université CNRS Paris Diderot

Groupes, Représentations et Géométrie


Cluster algebras of finite A type and Demazure crystals

Toshiki Nakashima - Sophia University

vendredi 3 novembre 2017 à 10:30
Sophie Germain en salle 1016 à 10 h 30

8 place Aurélie Nemours, 75013 Paris

It is known that associated with square of certain Coxeter element there exists the cluster algebra of finite type, which has only finitely many cluster variables. For type A case, we shall present its all cluster variables and describe them in terms of monomial realizations of Demazure crystals.
This is a joint work with Y. Kanakubo.
http://rscdb.cc.sophia.ac.jp/Profiles/16/0001568/prof_e.html

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