scholarly journals Hecke-symmetry and rational period functions

2015 ◽  
Vol 41 (1-3) ◽  
pp. 323-334
Author(s):  
Wendell Ressler
Keyword(s):  
Rational Period Functions ◽  
Hecke Symmetry

Rational period functions and indefinite binary quadratic forms. I

1990 ◽  
Vol 286 (1-3) ◽  
pp. 697-707 ◽  
Author(s):  
YoungJu Choie ◽  
L. Alayne Parson
Keyword(s):  
Quadratic Forms ◽  
Binary Quadratic Forms ◽  
Rational Period Functions

ON MATRIX QUANTUM GROUPS OF TYPE An

2000 ◽  
Vol 11 (09) ◽  
pp. 1115-1146 ◽  
Author(s):  
HO Hai PHUNG
Keyword(s):  
Hopf Algebra ◽  
Quantum Group ◽  
Quantum Groups ◽  
Semi Group ◽  
The Matrix ◽  
Hecke Symmetry ◽  
Matrix Quantum

Given a Hecke symmetry R, one can define a matrix bialgebra ER and a matrix Hopf algebra HR, which are called function rings on the matrix quantum semi-group and matrix quantum groups associated to R. We show that for an even Hecke symmetry, the rational representations of the corresponding quantum group are absolutely reducible and that the fusion coefficients of simple representations depend only on the rank of the Hecke symmetry. Further we compute the quantum rank of simple representations. We also show that the quantum semi-group is "Zariski" dense in the quantum group. Finally we give a formula for the integral.

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