Results 171 to 180 of about 321 (215)

Codegree of simple Lie groups. II

, 1991
Ōshima, Hideaki, Kono, Akira
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Codegree of simple Lie groups. II

Codegree of simple Lie groups. II
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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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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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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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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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Finite simple unisingular groups of Lie type

Journal of Group Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guralnick, Robert M., Pham Huu Tiep
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Branching Rules for Simple Lie Groups

Journal of Mathematical Physics, 1965
If Γ is an irreducible representation of a group 𝒢, and ℋ is a subgroup of 𝒢, then Γ furnishes a representation of ℋ which is, in general, reducible, and the branching rules specify which irreducible representations of ℋ occur in the decomposition of this representation.
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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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Construction of invariants for simple lie groups

Nuclear Physics, 1964
Abstract A coupling coefficient for the orthogonal and symplectic groups is defined.It can be utilized to construct a set of invariants and it is proved that these are all the independent invariants of the considered groups excepting the orthogonal group in even dimensions for which an invariant cannot be constructed in a similar way.
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