scholarly journals A Ribbon Hopf Algebra Approach to the Irreducible Representations of Centralizer Algebras: The Brauer, Birman–Wenzl, and Type A Iwahori–Hecke Algebras

1997 ◽  
Vol 125 (1) ◽  
pp. 1-94 ◽  
Author(s):  
Robert Leduc ◽  
Arun Ram
Keyword(s):  
Hopf Algebra ◽  
Hecke Algebras ◽  
Type A ◽  
Irreducible Representations ◽  
Algebra Approach ◽  
Centralizer Algebras

scholarly journals OCNEANU'S TRACE AND STARKEY'S RULE

2003 ◽  
Vol 12 (07) ◽  
pp. 899-904 ◽  
Author(s):  
MEINOLF GECK ◽  
NICOLAS JACON
Keyword(s):  
Simple Proof ◽  
Hecke Algebras ◽  
Jones Polynomial ◽  
Main Tool ◽  
Type A ◽  
Character Tables ◽  
Special Case ◽  
Knots And Links

We give a new simple proof for the weights of Ocneanu's trace on Iwahori–Hecke algebras of type A. This trace is used in the construction of the HOMFLYPT-polynomial of knots and links (which includes the famous Jones polynomial as a special case). Our main tool is Starkey's rule concerning the character tables of Iwahori–Hecke algebras of type A.

Gauss Sums on the Iwahori-Hecke Algebras of Type $A$

2017 ◽  
Vol 39 (3) ◽  
pp. 583-596
Author(s):  
Yasushi GOMI
Keyword(s):  
Hecke Algebras ◽  
Type A ◽  
Gauss Sums

scholarly journals A Hopf-Algebra Approach to Inner Plethysm

1994 ◽  
Vol 104 (1) ◽  
pp. 30-58 ◽  
Author(s):  
T. Scharf ◽  
J.Y. Thibon
Keyword(s):  
Hopf Algebra ◽  
Algebra Approach
Sign in / Sign up

Export Citation Format

Share Document