scholarly journals Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.

1997 ◽  
Vol 1997 (482) ◽  
pp. 191-214
Keyword(s):  
Hecke Algebras ◽  
Type B ◽  
Knot Invariants

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

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

The Hecke algebras of type B and D and subfactors

2001 ◽  
Vol 199 (1) ◽  
pp. 137-161
Author(s):  
R.C. Orellana
Keyword(s):  
Hecke Algebras ◽  
Type B

scholarly journals Canonical bases and affine Hecke algebras of type B

2011 ◽  
Vol 185 (3) ◽  
pp. 593-693 ◽  
Author(s):  
M. Varagnolo ◽  
E. Vasserot
Keyword(s):  
Hecke Algebras ◽  
Type B ◽  
Canonical Bases ◽  
Affine Hecke Algebras

Affine Hecke algebras and generalizations of quiver Hecke algebras of type B

2020 ◽  
Vol 63 (2) ◽  
pp. 531-578
Author(s):  
L. Poulain d'Andecy ◽  
R. Walker
Keyword(s):  
Hecke Algebras ◽  
Type B ◽  
Graded Algebras ◽  
Direct Sums ◽  
Affine Hecke Algebras

AbstractWe define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorphism between direct sums of blocks of these algebras and a generalization, for type B, of cyclotomic quiver Hecke algebras, which are a family of graded algebras closely related to algebras introduced by Varagnolo and Vasserot. Inspired by the work of Brundan and Kleshchev, we first give a family of isomorphisms for the corresponding result in type A which includes their original isomorphism. We then select a particular isomorphism from this family and use it to prove our result.

scholarly journals q-SCHUR ALGEBRAS CORRESPONDING TO HECKE ALGEBRAS OF TYPE B

2020 ◽  
Author(s):  
CHUN-JU LAI ◽  
DANIEL K. NAKANO ◽  
ZIQING XIANG
Keyword(s):  
Hecke Algebras ◽  
Type B ◽  
Schur Algebras
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