The representation dimension of Schur algebras: the tame case

2004 ◽  
Vol 55 (4) ◽  
pp. 477-490 ◽  
Author(s):  
T. Holm
Keyword(s):  
Representation Dimension ◽  
Schur Algebras

On the Representation Dimension of Schur Algebras

2009 ◽  
Vol 14 (2) ◽  
pp. 283-300 ◽  
Author(s):  
Vanessa Miemietz ◽  
Steffen Oppermann
Keyword(s):  
Representation Dimension ◽  
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 AUSLANDER GENERATORS AND HOMOLOGICAL CONJECTURES

2013 ◽  
Vol 56 (3) ◽  
pp. 503-506 ◽  
Author(s):  
JIAQUN WEI
Keyword(s):  
Artin Algebra ◽  
Representation Dimension ◽  
Homological Conjectures

AbstractLet A be an artin algebra with representation dimension not more than 3. Assuming that AV is an Auslander generator and M ∈ addAV, we show that both findim(EndAM) and findim(EndAM)op are finite, and consequently the Gorenstein symmetry conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for EndAM.

scholarly journals Maximal representation dimension of finitep-groups

2011 ◽  
pp. ---
Author(s):  
Shane Cernele ◽  
Masoud Kamgarpour ◽  
Zinovy Reichstein
Keyword(s):  
Representation Dimension ◽  
Maximal Representation

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
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