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math.RT2013
Dual characters of the Hecke algebra and twisted Markov traces
Gennadiy Ilyuta
Twisted Markov traces and irreducible characters of the Hecke algebra are dual.
math.RT2011
Clebsch-Gordan series, the inverse of a Cartan matrix and -invariants
Gennadiy Ilyuta
We prove some formulas relating the inverse of a Cartan matrix with algebraic and geometric invariants of finite group representations.