46 citations · 412 across the 48 of their papers we have counts for
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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…
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…
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…
Drinfeld-Jimbo quantum Lie algebra
Oleg Ogievetsky, Todor Popov
Quantum Lie algebras related to multi-parametric Drinfeld-Jimbo -matrices of type are classified.