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math.RT2025
Simple representations associated to cyclotomic Hecke algebras
Lilit Martirosyan, Hans Wenzl
We determine the structure of the cyclotomic Hecke algebra corresponding to the complex reflection group also when it is not semisimple, as long as the generators are diag…
math.RT2016
Affine Centralizer Algebras
Lilit Martirosyan, Hans Wenzl
We show that is generated by the affine braid group where , is its 7-dimensional irreducible r…
math.RT2013★ 4 cited
The representation theory of the exceptional Lie superalgebras F(4) and G(3)
Lilit Martirosyan
This paper is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so-called {\it{exceptional}} Lie superalgebras F(4) and G(3). The first problem pos…