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The characters of the holomorphic discrete series. [PDF]
Martens S.
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TOWARD WAVE MODELS OF REPRESENTATIONS OF REAL SEMISIMPLE LIE GROUPS
Takayuki Oda
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Lie algebra cohomology and the representations of semisimple Lie groups
David A. Vogan
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Representations of complex semisimple Lie groups and their real forms
1992All the Lie algebras and Lie groups considered in this chapter are finite-dimensional; sometimes without mentioning this specifically we confine ourselves to a reductive Lie group, i.e., to a direct product of a simple group by a 1-dimensional center.
A. N. Leznov, M. V. Saveliev
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Representations of Semisimple Lie Groups and Their Matrix Elements
1992One of fundamental results of the theory of finite dimensional representations is the following theorem (see, for example, reference [58] of the first volume).
N. Ja. Vilenkin, A. U. Klimyk
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Fock–Goncharov coordinates for semisimple Lie groups
, 2021Fock and Goncharov introduced cluster ensembles, providing a framework for coordinates on varieties of surface representations into Lie groups, as well as a complete construction for groups of type $A_n$.
S. Gilles
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Beurling–Fourier Algebras of q-Deformations of Compact Semisimple Lie Groups and Complexification
International mathematics research noticesWe study Beurling–Fourier algebras of $ q $-deformations of compact semisimple Lie groups. In particular, we show that the space of irreducible representations of the function algebras of their Drinfeld doubles is exhausted by the irreducible ...
Heon Lee, Christian Voigt
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Quantized semisimple Lie groups
Archiv der MathematikThese notes present a quick introduction to the q-deformations of semisimple Lie groups from the point of view of unitary representation theory. In order to remain concrete, we concentrate entirely on the case of the lie algebra $\mathrm{sl}(2,\mathbb{C})
Rita Fioresi, R. Yuncken
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