Sentence examples for real forms of from inspiring English sources

It can, for example, remind us of what is beyond dream – the real forms of living creatures that exist without human agency.

We study the Berezin kernel decomposition into positive-definite spherical functions on real forms of tube domains.

The real forms of interest are best understood by expressing them via blocks with respect to the decomposition (W = V oplus V^*).

In this subsection we define a real structure for the complex vector space (W = Voplus V^*) and describe, in particular, the resulting real forms of the ((mathbb {Z}_2 -even components of the) Howe dual partners introduced above.

Nevertheless, it is still true that the even components of these intersections are real forms of the complex Lie algebras (mathfrak {osp}(Uoplus U^*)_0) and (mathfrak {osp} (widetilde{U}oplus widetilde{U}^*)_0,).

Let σ and τ be two involutions of g such that (1) the algebras gσ and gτ of points fixed by σ and τ, respectively, are real forms of g, (2) the group Gτ of points fixed by τ is quasisplit, and (3) the automorphism σ τ is inner.

This was a real form of cultural power, which Buckley was quick to seize on.

"Glass could become a real form of expression for us, on the same level as baskets and pottery," he said.

The journalist Mr Malkoutzis says what its people need is some real form of hope that their lot will improve.

To see why imputed rent is a real form of income, consider two homeowners living in identical houses.

The British Antarctic Territory overlaps with the claimed Antarctic territories of both Chile and Argentina, and all three of the claims lack any real form of global legal recognition.