scholarly journals On decomposition numbers of the cyclotomic q-Schur algebras

2007 ◽  
Vol 311 (1) ◽  
pp. 147-177 ◽  
Author(s):  
Nobuharu Sawada
Keyword(s):  
Schur Algebras ◽  
Decomposition Numbers

scholarly journals Presenting cyclotomic q-Schur algebras

2011 ◽  
Vol 201 ◽  
pp. 45-116
Author(s):  
Kentaro Wada
Keyword(s):  
Schur Algebras ◽  
Defining Relations ◽  
Decomposition Numbers

AbstractWe give a presentation of cyclotomic q-Schur algebras by generators and defining relations. As an application, we give an algorithm for computing decomposition numbers of cyclotomic q-Schur algebras.

scholarly journals Presenting cyclotomic q-Schur algebras

2011 ◽  
Vol 201 ◽  
pp. 45-116
Author(s):  
Kentaro Wada
Keyword(s):  
Schur Algebras ◽  
Defining Relations ◽  
Decomposition Numbers

AbstractWe give a presentation of cyclotomicq-Schur algebras by generators and defining relations. As an application, we give an algorithm for computing decomposition numbers of cyclotomicq-Schur algebras.

scholarly journals On decomposition numbers and Alvis–Curtis duality

2007 ◽  
Vol 143 (3) ◽  
pp. 509-520
Author(s):  
BERND ACKERMANN ◽  
SIBYLLE SCHROLL
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
Schur Algebras ◽  
General Linear Groups ◽  
Decomposition Numbers

AbstractWe show that for general linear groups GLn(q) as well as for q-Schur algebras the knowledge of the modular Alvis–Curtis duality over fields of characteristic ℓ, ℓ ∤ q, is equivalent to the knowledge of the decomposition numbers.

scholarly journals Dominant and global dimension of blocks of quantised Schur algebras

2021 ◽  
Author(s):  
Ming Fang ◽  
Wei Hu ◽  
Steffen Koenig
Keyword(s):  
Hecke Algebras ◽  
Symmetric Groups ◽  
Global Dimension ◽  
Group Algebras ◽  
Dominant Dimension ◽  
Schur Algebras ◽  
Homological Dimensions ◽  
Weyl Duality

AbstractGroup algebras of symmetric groups and their Hecke algebras are in Schur-Weyl duality with classical and quantised Schur algebras, respectively. Two homological dimensions, the dominant dimension and the global dimension, of the indecomposable summands (blocks) of these Schur algebras S(n, r) and $$S_q(n,r)$$ S q ( n , r ) with $$n \geqslant r$$ n ⩾ r are determined explicitly, using a result on derived invariance in Fang, Hu and Koenig (J Reine Angew Math 770:59–85, 2021).

scholarly journals Exponent Reduction for Projective Schur Algebras

2001 ◽  
Vol 239 (1) ◽  
pp. 356-364 ◽  
Author(s):  
Eli Aljadeff ◽  
Jack Sonn
Keyword(s):  
Schur Algebras
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