15 citations · 97 across the 32 of their papers we have counts for
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math.QA2012
Alternating subalgebras of Hecke algebras and alternating subgroups of braid groups
O. V. Ogievetsky, L. Poulain d'Andecy
For a Coxeter system (G,S) the multi-parametric alternating subalgebra H^+(G) of the Hecke algebra and the alternating subgroup B^+(G) of the braid group are defined. Two presentat…
math.RT2012★ 7 cited
Jucys--Murphy elements and representations of cyclotomic Hecke algebras
O. V. Ogievetsky, L. Poulain d'Andecy
An inductive approach to the representation theory of cyclotomic Hecke algebras, inspired by Okounkov and Vershik, is developed. We study the common spectrum of the Jucys-Murphy el…
math.RT2012★ 7 cited
On representations of complex reflection groups G(m,1,n)
O. V. Ogievetsky, L. Poulain d'Andecy
An inductive approach to the representation theory of the chain of the complex reflection groups G(m,1,n) is presented. We obtain the Jucys-Murphy elements of G(m,1,n) from the Juc…