Results 271 to 280 of about 96,479 (309)
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Finite simple unisingular groups of Lie type

Journal of Group Theory, 2003
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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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Semigroups of Simple Lie Groups and Controllability

Journal of Dynamical and Control Systems, 2013
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Differential calculus on quantized simple lie groups

Letters in Mathematical Physics, 1991
The author introduces a generalization of \textit{S. L. Woronowicz}'s [Commun. Math. Phys. 122, 125-170 (1989; Zbl 0751.58042)] four dimensional differential calculus on \(SU_ q(2)\) to the case of an arbitrary simple classical quantum group in a constructive way.
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Wigner-Eckart Theorem and Simple Lie Groups

Journal of Mathematical Physics, 1963
For simple Lie groups, matrix elements of vector operators (i.e. operators which transform according to the adjoint representation of the group) within an irreducible (finite-dimensional) representation, are studied. By use of the Wigner-Eckart theorem, they are shown to be linear combinations of the matrix elements of a finite number of operators. The
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Charge operators in simple Lie groups

Journal of Mathematical Physics, 1984
Charge operators for representations of dimension less than or equal to 16 are computed in all simple Lie groups. The representations for which the charge operator reproduces the charge spectrum of leptons and quarks of one family are analyzed from a GUT point of view.
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Simple Groups and Simple Lie Algebras

Journal of the London Mathematical Society, 1965
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