Results 101 to 110 of about 3,483,162 (228)
Low Degree Representations of Simple Lie Groups [PDF]
arXiv, 2010 We give upper bounds for the number of irreducible representations of dimension at most n for a compact semisimple Lie group. In particular, we prove that there are at most n irreducible representations of dimension at most n for a simple compact Lie group.
arxiv
Asymptotic dimension of invariant subspace in tensor product representation of compact Lie group [PDF]
, 2009 Taro Suzuki, Tatsuru Takakura
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Integrating Unitary Representations of Infinite-Dimensional Lie Groups [PDF]
Journal of Functional Analysis 161, 1999, 478-508, 2001 We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite--dimensional or of Banach-Lie type and therefore encompasses the diffeomorphism groups of compact manifolds.
arxiv
Quantization maps, algebra representation, and non-commutative Fourier transform for Lie groups [PDF]
, 2013 Carlos Guedes +2 more
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Faithful Representations of Lie Groups II [PDF]
Nagoya Mathematical Journal, 1950 The present paper is a continuation of Part I. In the introduction of Part I we have explained our main problems and sketched their results. In the present part we shall proceed to give complete proofs of them.
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The universal representation kernel of a Lie group [PDF]
, 1960 G. Hochschild
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Exceptional representations of Weyl groups [PDF]
arXiv, 2014 We examine various consequences of the existence of exceptional representations of an irreducible Weyl group. (These are notes from a talk in the MIT Lie groups seminar.)
arxiv
The Serpentine Representation of the Infinite Symmetric Group and the Basic Representation of the Affine Lie Algebra $${\widehat{\mathfrak{sl}_2}}$$ sl 2 ^ [PDF]
, 2014 Н. В. Цилевич, A. M. Vershik
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Modular orbits on the representation spaces of compact abelian Lie groups
, 2021 Yohann Bouilly, Gianluca Faraco
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