His single most famous composition is perhaps his opera Lou Salomé, which received its first production in Munich in 1981, with Karan Armstrong in the title role.
From Bayreuth, Hofmann appeared as Siegmund in the 1980 Die Walküre (with Dame Gwyneth Jones as Brünnhilde) conducted by Pierre Boulez, in Patrice Chéreau's 1976 Ring production (Deutsche Grammophon), and in the title role of the 1982 Lohengrin (opposite Karan Armstrong as Elsa) conducted by Woldemar Nelsson (EuroArts), in Götz Friedrich's production.
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Other well-known sopranos who have portrayed the heroine have included Lee Venora, Joy Clements, Maralin Niska, Nancy Shade, Diana Soviero, Karan Armstrong, Kelly Kaduce and Phyllis Treigle (opposite Michael Devlin as Blitch).