Open AccessThe 𝑞-Schur² algebra
Author(s) -
Jie Du,
Leonard L. Scott
Publication year - 2000
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-00-02262-5
Subject(s) - annotation , algorithm , mathematics , type (biology) , semantics (computer science) , algebra over a field , computer science , pure mathematics , artificial intelligence , programming language , ecology , biology
We study a class of endomomorphism algebras of certain q q -permutation modules over the Hecke algebra of type B B , whose summands involve both parabolic and quasi-parabolic subgroups, and prove that these algebras are integrally free and quasi-hereditary, and are stable under base change. Some consequences for decomposition numbers are discussed.