scholarly journals Representation Type of Borel-Schur Algebras

2020 ◽  
Author(s):  
Karin Erdmann ◽  
Ana Paula Santana ◽  
Ivan Yudin
Keyword(s):  
Representation Type ◽  
Schur Algebras

scholarly journals On Auslander–Reiten sequences for Borel–Schur algebras

2018 ◽  
Vol 17 (02) ◽  
pp. 1850028
Author(s):  
Karin Erdmann ◽  
Ana Paula Santana ◽  
Ivan Yudin
Keyword(s):  
Large Class ◽  
Partial Information ◽  
Representation Type ◽  
Finite Representation ◽  
Schur Algebras ◽  
Finite Representation Type ◽  
Simple Modules

We classify Borel–Schur algebras having finite representation type. We also determine Auslander–Reiten sequences for a large class of simple modules over Borel–Schur algebras. A partial information on the structure of the socles of Borel-Schur algebras is given.

scholarly journals Representation type of $q$-Schur algebras

2001 ◽  
Vol 353 (12) ◽  
pp. 4729-4756 ◽  
Author(s):  
Karin Erdmann ◽  
Daniel K. Nakano
Keyword(s):  
Representation Type ◽  
Schur Algebras

Representation type of the little q-Schur algebras

2020 ◽  
Vol 224 (8) ◽  
pp. 106349
Author(s):  
ZhiHao Bian ◽  
Mingqiang Liu
Keyword(s):  
Representation Type ◽  
Schur Algebras

INFINITESIMAL SCHUR ALGEBRAS OF FINITE REPRESENTATION TYPE

1997 ◽  
Vol 48 (3) ◽  
pp. 323-345 ◽  
Author(s):  
STEPHEN R. DOTY ◽  
DANIEL K. NAKANO ◽  
KARL M. PETERS
Keyword(s):  
Representation Type ◽  
Finite Representation ◽  
Schur Algebras ◽  
Finite Representation Type

Representation type of Schur algebras

1999 ◽  
Vol 232 (1) ◽  
pp. 137-182 ◽  
Author(s):  
Stephen R. Doty ◽  
Karin Erdmann ◽  
Stuart Martin ◽  
Daniel K. Nakano
Keyword(s):  
Representation Type ◽  
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).

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