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  • Mean eigenvalues for simple, simply connected, compact Lie groups
    We determine for each of the simple, simply connected, compact and complex Lie groups SU (n), Spin and that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues
  • Mean eigenvalues for simple, simply connected, compact Lie groups : N . . .
    We determine for each of the simple, simply connected, compact and complex Lie groups SU (n), Spin$ (4n+2)$ and $E_6$ that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues
  • Mean eigenvalues for simple, simply connected, compact Lie groups
    fundamental representation The simple and simply connected, compact Lie groups (without any Abelian U(1)-factors) are particularly interesting, since for these the trace figure (i e , locus of the mean eigenvalues or image of the normalized fundamental character) will not be the entire uni
  • arXiv:math-ph 0609082v1 28 Sep 2006
    We determine for each of the simple, simply connected, compact and complex Lie groups SU(n), Spin(4n+2) and E6 that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues
  • Mean eigenvalues for simple, simply connected, compact Lie groups
    We determine for each of the simple, simply connected and compact Lie groups SU (n), Spin (4n + 2) and E6 with a complex fundamental representation that particular region inside the unit disc in the complex plane which is filled by their mean eigenvalues
  • Mean eigenvalues for simple, simply connected, compact Lie groups . . .
    We investigate a remarkable class of exponential sums which are derived from the symmetric groups and which display a diverse array of visually appealing features
  • Mean eigenvalues for simple, simply connected, compact Lie groups . . .
    Abstract We determine for each of the simple, simply connected and compact Lie groups SU (n), Spin (4n + 2) and E {sub 6} with a complex fundamental representation that particular region inside the unit disc in the complex plane which is filled by their mean eigenvalues
  • Compact group - Wikipedia
    The classification of compact, simply connected Lie groups is the same as the classification of complex semisimple Lie algebras Indeed, if K is a simply connected compact Lie group, then the complexification of the Lie algebra of K is semisimple
  • Simple Lie group - Wikipedia
    In this article the connected simple Lie groups with trivial center are listed Once these are known, the ones with non-trivial center are easy to list as follows Any simple Lie group with trivial center has a universal cover whose center is the fundamental group of the simple Lie group
  • Simple Lie algebras | Mathematics for Physics
    Fortunately, there is always a unique (up to isomorphism) compact real form of \ ( {\mathfrak {g}}\), which is the only one that corresponds to a compact simple Lie group





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