scholarly journals The representation type of Hecke algebras of type B

2004 ◽  
Vol 181 (1) ◽  
pp. 134-159 ◽  
Author(s):  
Susumu Ariki ◽  
Andrew Mathas
Keyword(s):  
Hecke Algebras ◽  
Representation Type ◽  
Type B

Representation Type of Finite Quiver Hecke Algebras of TypeA(1)ℓfor Arbitrary Parameters

2014 ◽  
Vol 2015 (15) ◽  
pp. 6070-6135 ◽  
Author(s):  
Susumu Ariki ◽  
Kazuto Iijima ◽  
Euiyong Park
Keyword(s):  
Hecke Algebras ◽  
Representation Type

scholarly journals Schur Algebras and Quantum Symmetric Pairs With Unequal Parameters

2019 ◽  
Author(s):  
Chun-Ju Lai ◽  
Li Luo
Keyword(s):  
Weight Function ◽  
Canonical Basis ◽  
Hecke Algebras ◽  
Symmetric Pair ◽  
Type B ◽  
Schur Algebras ◽  
Algebraic Version ◽  
Type D ◽  
Invariant Basis

Abstract We study the (quantum) Schur algebras of type B/C corresponding to the Hecke algebras with unequal parameters. We prove that the Schur algebras afford a stabilization construction in the sense of Beilinson–Lusztig–MacPherson that constructs a multiparameter upgrade of the quantum symmetric pair coideal subalgebras of type AIII/AIV with no black nodes. We further obtain the canonical basis of the Schur/coideal subalgebras, at the specialization associated with any weight function. These bases are the counterparts of Lusztig’s bar-invariant basis for Hecke algebras with unequal parameters. In the appendix we provide an algebraic version of a type D Beilinson–Lusztig–MacPherson construction, which is first introduced by Fan–Li from a geometric viewpoint.

scholarly journals Cellular structures on Hecke algebras of type B

2009 ◽  
Vol 321 (11) ◽  
pp. 3089-3111 ◽  
Author(s):  
Cédric Bonnafé ◽  
Nicolas Jacon
Keyword(s):  
Hecke Algebras ◽  
Cellular Structures ◽  
Type B

Representation type of 0-Hecke algebras

2011 ◽  
Vol 54 (3) ◽  
pp. 411-420 ◽  
Author(s):  
BangMing Deng ◽  
GuiYu Yang
Keyword(s):  
Hecke Algebras ◽  
Representation Type
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