On the Lusternik-Schnirelmann category of symmetric spaces of classical type
classification
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categorylusternik-schnirelmannspacessymmetrictypeclassicaldetermineirreducible
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We determine the Lusternik-Schnirelmann category of the irreducible, symmetric Riemann spaces SU(n)/SO(n) and SU(2n)/Sp(n) of type AI and AII respectively.
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