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In questa Nota preventiva vengono studiate certe rappresentazioni fra varietà simplettiche di Stiefel.
Adoperando la sequenza spettrale di Atiyah-Hirzebruch, si determina la K-teoria unitaria per un gruppo compatto di Lie con gruppo fondamentale ciclico di ordine primo. Questo risultato viene poi applicato al calcolo della K-teoria dei gruppi simplettici proiettivi.
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