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In 1591 he wrote music for the wedding of Jan Kostka at Świecie castle; the Kostka family may have been patrons of his, since Stanisław Kostka left him a considerable legacy in 1602.
Tyranowski is buried in the Church of St. Stanislaus Kostka which is administered by the Salesians in Kraków's district of Dębniki.
They can be expanded in terms of Schur functions, and the coefficients Kλμ(q,t) of these expansions are called Kostka–Macdonald coefficients.
It was Adriano Garsia's idea to construct an appropriate module in order to prove positivity (as was done in his previous joint work with Procesi on Schur positivity of Kostka–Foulkes polynomials).
In the 1530s they became involved in the fight against Protestant family Kostka.