Representations of Compact Lie Groups.pdf

Representations of Compact Lie Groups

Théodor Bröcker

Date de parution

Most lie groups books fall into one of two categories: geometrically motivated ones, and algebraically motivated ones. I prefer the former. If you're perfectly happy with …

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Representations of Compact Lie Groups.pdf


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Sofya Voigtuh

PDF | On Jan 1, 1987, Karl H. Hofmann and others published Review: Theodor Bröcker and Tammo tom Dieck, Representations of compact Lie groups | Find, read and cite all the research you need on

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Signature quantization and representations of … 27/07/2004 · We discuss some applications of signature quantization to the representation theory of compact Lie groups. In particular, we prove signature analogues of the Kostant formula for weight multiplicities and the Steinberg formula for tensor product multiplicities. Using symmetric functions, we also find, for type A , analogues of the Weyl branching rule and the Gel'fand–Tsetlin theorem.

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HOMOGENEITY RANK OF REAL REPRESENTATIONS OF COMPACT LIE GROUPS CLAUDIO GORODSKI AND FABIO PODESTA` Abstract. The main result of this paper is the classification of the real irreducible repre-sentations of compact Lie groups with vanishing homogeneity rank. 1. Introduction Let a compact Lie group G act smoothly on a smooth manifold M. The codimension of the principal orbits in M is … REPRESENTATIONS OF COMPACT LIE GROUPS OF LOW …

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Lie Groups, Representation Theory and Symmetric …

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Representations of compact Lie groups - Mathematics Representations of compact Lie groups This is to write down some facts which are needed to do the home-work. The main point is Proposition 1.4. Setting is that we have a compact connected Lie group with a choice of maximal torus (1a) G˙T: Attached to the torus are two lattices (1b) X(T) = Hom(T;U(1)) = character lattice, X (T) = Hom(U(1);T) = cocharacter lattice, in duality by a pairing h;i