scholarly journals Spin characters of generalized symmetric groups

2013 ◽  
Vol 173 (4) ◽  
pp. 495-518 ◽  
Author(s):  
Xiaoli Hu ◽  
Naihuan Jing
Keyword(s):  
Symmetric Groups ◽  
Spin Characters

Decomposition matrices for spin characters of symmetric groups

1988 ◽  
Vol 108 (1-2) ◽  
pp. 145-164 ◽  
Author(s):  
A. O. Morris ◽  
A. K. Yaseen
Keyword(s):  
Symmetric Groups ◽  
Spin Characters

SynopsisMethods are developed for determining the decomposition matrices for the spin characters of the symmetric groups Sn for an odd prime p. Some general results are obtained which are non-trivial modifications of the corresponding results for ordinary characters. The methods are used to determine the decomposition matrices for 3 ≦ n ≦ ll, and p = 3 but with an interesting ambiguity in the case n = 9. The second author will deal separately with the cases p = 5, 7, 11.

scholarly journals Schur $q$-functions and Spin Characters of Symmetric Groups I

10.37236/1278 ◽  
1995 ◽  
Vol 3 (2) ◽  
Author(s):  
Alun Morris ◽  
A. A. Abdel-Aziz
Keyword(s):  
Symmetric Groups ◽  
Schur Functions ◽  
Irreducible Characters ◽  
Spin Characters

Inspired by the early work of D.E.Littlewood and A.R.Richardson, Schur functions have been used to give useful combinatorial formulae for determining explicit values for the irreducible characters of the symmetric groups.In this,the first of two papers,we consider how Schur Q-functions can be used to obtain combinatorial formulae for the irreducible spin (projective) characters of symmetric groups.

scholarly journals Decomposition Matrices for Spin Characters of Symmetric Groups at Characteristic 3

1994 ◽  
Vol 164 (1) ◽  
pp. 146-172 ◽  
Author(s):  
C. Bessenrodt ◽  
A.O. Morris ◽  
J.B. Olsson
Keyword(s):  
Symmetric Groups ◽  
Characteristic 3 ◽  
Spin Characters

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 Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems

2018 ◽  
Vol 293 (1-2) ◽  
pp. 677-723 ◽  
Author(s):  
Alexander Kleshchev ◽  
Lucia Morotti ◽  
Pham Huu Tiep
Keyword(s):  
Symmetric Groups
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