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Braid relations in the yokonuma-hecke algebraJOURNAL OF ALGEBRAJ ALGEBRA
(ACADEMIC PRESS, 2017)
Arithmetic and representation theory of wild character varieties
(European Mathematical Society, 2019-06-06)
We count points over a finite field on wild character varieties of Riemann surfaces for singularities with regular semi simple leading term. The new feature in our counting formulas is the appearance of characters of ...
Completeness of the Bethe Ansatz for an Open q -Boson System with Integrable Boundary Interactions
(Birkhauser Verlag Ag, 2018-05)
We employ a discrete integral-reflection representation of the double affine Hecke algebra of type C∨C at the critical level q = 1 , to endow the open finite q-boson system with integrable boundary interactions at the ...
AN ADELIC EXTENSION OF THE JONES POLYNOMIAL
(SPRINGER, 2011)
In this paper we represent the classical braids in the Yokonuma--Hecke and the adelic Yokonuma--Hecke algebras. More precisely, we define the completion of the framed braid group and we introduce the adelic Yokonuma--Hecke ...
Connectedness of Hecke algebras and the Rayuela conjecture: a path to functoriality and modularity
(Cambridge University Press, 2015)
Let ρ1 and ρ2 be a pair of residual, odd, absolutely irreducible two-dimensional Galois representations of a totally real number field F. In this article we propose a conjecture asserting existence of "safe" chains of ...
Grupos de Coxeter y bimódulos de Soergel
(2018-03)
En este trabajo se introducen los grupos de Coxeter para un estudio combinatorio de los mismos a través del Orden de Bruhat. A continuación se establecen definiciones y resultados básicos de la Teoría de Kazhdan-Lusztig ...