scholarly journals From conjugacy classes in the Weyl group to semisimple conjugacy classes

2021 ◽  
Vol 17 (4) ◽  
pp. 1159-1189
Author(s):  
Jeffrey Adams ◽  
Xuhua He ◽  
Sian Nie
Keyword(s):  
Weyl Group ◽  
Conjugacy Classes

scholarly journals Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

2021 ◽  
Vol 383 ◽  
pp. 107688
Author(s):  
Jeffrey Adams ◽  
Xuhua He ◽  
Sian Nie
Keyword(s):  
Weyl Group ◽  
Partial Orders ◽  
Conjugacy Classes

scholarly journals Semisimple conjugacy classes and classes in the Weyl group

2003 ◽  
Vol 260 (1) ◽  
pp. 99-110 ◽  
Author(s):  
Roger Carter
Keyword(s):  
Weyl Group ◽  
Conjugacy Classes

scholarly journals Representations of Weyl groups of type B induced from centralisers of involutions

1991 ◽  
Vol 44 (2) ◽  
pp. 337-344 ◽  
Author(s):  
Philip D. Ryan
Keyword(s):  
Weyl Group ◽  
Symmetric Groups ◽  
Conjugacy Classes ◽  
Weyl Groups ◽  
Type B ◽  
Complex Character ◽  
Linear Character ◽  
Complex Linear

Let G be a Weyl group of type B, and T a set of representatives of the conjugacy classes of self-inverse elements of G. For each t in T, we construct a (complex) linear character πt of the centraliser of t in G, such that the sum of the characters of G induced from the πt contains each irreducible complex character of G with multiplicity precisely 1. For Weyl groups of type A (that is, for the symmetric groups), a similar result was published recently by Inglis, Richardson and Saxl.

New topological theories and conjugacy classes of the Weyl group

1993 ◽  
Vol 409 (2) ◽  
pp. 465-483 ◽  
Author(s):  
Timothy J. Hollowood ◽  
J. Luis Miramontes
Keyword(s):  
Weyl Group ◽  
Conjugacy Classes ◽  
Topological Theories
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