Doubled Hecke Algebras and Related Quantum Schur Duality  

作　　者：Chenliang Xue An Zhang 

机构地区：[1]School of Mathematical Sciences,East China Normal University Shanghai 200241,China

出　　处：《Algebra Colloquium》2024年第3期417-428,共12页代数集刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(NSFC)Grant 12071136.

摘　　要：We introduce the doubled Hecke algebra,which is an infinite-dimensional algebra generated by two Hecke algebras.This concept originates from the degenerate doubled Hecke algebra in the theory of Schur-Weyl duality related to enhanced reductive algebraic groups.We study the finite-dimensional natural representation of the doubled Hecke algebra on tensor space and prove that the doubled Hecke algebra forms a duality with the quantum group of Levi type.

关 键 词：quantum group doubled Hecke algebra quantum q-Schur duality double centralizer 

分 类 号：O15[理学—数学]