Quantum $$\mathfrak{gl}_n,$$ q-Schur Algebras and Their Infinite/Infinitesimal Counterparts

2010 ◽  
pp. 93-119
Author(s):  
Jie Du ◽  
Qiang Fu
Keyword(s):  
Schur Algebras

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

scholarly journals Schur–Weyl duality for infinitesimal q-Schur algebras sq(2,r)1

2008 ◽  
Vol 320 (3) ◽  
pp. 1099-1114 ◽  
Author(s):  
Karin Erdmann ◽  
Qiang Fu
Keyword(s):  
Schur Algebras ◽  
Weyl Duality

scholarly journals On Schur algebras and related algebras, II

1987 ◽  
Vol 111 (2) ◽  
pp. 354-364 ◽  
Author(s):  
Stephen Donkin
Keyword(s):  
Schur Algebras

On Multiplication Formulas of affine q-Schur algebras

2021 ◽  
pp. 106943
Author(s):  
Yiqiang Li ◽  
Andrew Samer
Keyword(s):  
Schur Algebras

The Structure of Schur Algebras Sk(n, p) for n ≥ p

1992 ◽  
Vol 44 (3) ◽  
pp. 665-672 ◽  
Author(s):  
Changchang XI
Keyword(s):  
Closed Field ◽  
Schur Algebras ◽  
Algebraically Closed Field

AbstractBy exploiting the known quasi-heredity of Schur algebras, the structure of basic algebras of the Schur algebras Sk(n, p) for n ≥ p over an algebraically closed field k is completely determined.

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