Results 221 to 230 of about 100,933 (264)

UK National Screening Committee position statement on surrogate outcomes in cancer screening trials.

BMJ
Batson S, Hackshaw A, Mackie A, Richards M, Given-Wilson R, Atakpa E, Njagi EN, Shinkins B, Callender T, Hyde C, Visintin C, Thompson D, Cozens E, Evans DG, Hemming K, Payne K, Halligan S, Taylor-Phillips S.   +17 more
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ON THE SUBGROUPS OF THE CENTERS OF SIMPLY CONNECTED SIMPLE LIE GROUPS — CLASSIFICATION OF SIMPLE LIE GROUPS IN THE LARGE

ON THE SUBGROUPS OF THE CENTERS OF SIMPLY CONNECTED SIMPLE LIE GROUPS — CLASSIFICATION OF SIMPLE LIE GROUPS IN THE LARGE
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The Homotopy Type of Lie Semigroups in Semi-Simple Lie Groups

Monatshefte Fur Mathematik, 2002
Let \(G\) be a semisimple Lie group with finite center and \(S\subseteq G\) a subsemigroup with non-empty interior. The authors show that if \(S\) is generated by one-parameter semigroups, then there exists a compact subgroup of \(G\) whose homotopy groups are precisely the homotopy groups of \(S\).
San Martin Luiz A B
exaly   +2 more sources

Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules

Journal of Mathematical Physics, 1967
A criterion established by Dynkin is used to specify the embedding of a connected simple Lie group G′ into a connected simple Lie group G, and to derive a standard procedure for evaluating branching rules. It is shown that the weight systems of the irreducible parts contained in the representation of G′ induced by a given finite dimensional ...
Navon, A., Patera, J.
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Isoparity and Simple Lie Group

Journal of Mathematical Physics, 1967
The direct generalization of the isoparity (or G-parity), with the defining property that it is commutable with the referring internal symmetry group, is investigated on the basis of the theory of Lie algebra. This is one special problem of the group extension of a simple Lie group by an involution.
Tanabe, Kosai, Shima, Kazuhisa
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Elastic Helices in Simple Lie Groups

Journal of Lie Theory, 2015
Summary: Elastic curves (elastica) are classical variational objects with many applications in physics and engineering. Elastica in real space forms are well understood, but in other ambient spaces there are few known explicit examples, except geodesics.
Garay, Óscar J., Noakes, Lyle
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On simple lie groups of rank 3

Il Nuovo Cimento, 1965
Properties of simple Lie algebras of rank three, are investigated in view of physical applications; more precisely, dimensions, weight diagrams, decompositions with respect to regular subalgebras and decomposition of products of representations are given for the lowest order irreducible representations; we also explain somme techniques to deal with ...
Loupias, G., Sirugue, M., Trotin, J. C.
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Projection operators for simple lie groups

Theoretical and Mathematical Physics, 1971
Summary: The solution of many problems in nuclear theory and elementary particle physics amounts to decomposing the reducible representations of the symmetry groups of quantum mechanical systems into irreducible components. To carry out this decomposition, projection operators are needed. In the present paper we have constructed, for all simple compact
Asherova, R. M., Smirnov, Yu. F., Tolstoĭ, V. N.   +2 more
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Representations of simple lie groups

Reports on Mathematical Physics, 1993
It is known that the real homology \(H_ * (G)\) of a compact Lie group \(G\) is a Cartesian product of certain odd-dimensional spheres. In the author's interpretation, the group itself can be viewed as a ``twisted'' product of the same spheres: for instance, \(SU(3) \sim S^ 3 \times S^ 5\) is interpreted as the existence of the principal bundle \(SU(2)
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