Zonal measure algebras on isotropy irreducible homogeneous spaces
نویسندگان
چکیده
منابع مشابه
ISOTROPY IRREDUCIBLE SPACES AND s-REPRESENTATIONS
A simple description of isotropy irreducible spaces G/K is given when G is a classical compact Lie group and K is compact and connected.
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We give a complete list of all homogeneous spaces M = G/H where G is a simple compact Lie group, H a connected, closed subgroup, and G/H is simply connected, for which the isotropy representation of H on TpM decomposes into exactly two irreducible summands. For each homogeneous space, we determine whether it admits a G-invariant Einstein metric. When there is an intermediate subgroup H < K < G,...
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We show that the skew-symmetrized product on every Leibniz algebra E can be realized on a reductive complement to a subalgebra in a Lie algebra. As a consequence, we construct a nonassociative multiplication on E which, when E is a Lie algebra, is derived from the integrated adjoint representation. We apply this construction to realize the bracket operations on the sections of Courant algebroid...
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For an element x of the Cuntz algebra ON , define the isotropy subgroup Gx ≡ {g ∈ U(N) : αg(x) = x} of the unitary group U(N) with respect to the canonical action α of U(N) on ON . We have irreducible representations of the crossed product ONoGx by extending irreducible generalized permutative representations of ON and irreducible representation of Gx. ¿From this, the Peter-Weyl theorem for Gx ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1974
ISSN: 0022-1236
DOI: 10.1016/0022-1236(74)90046-9