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Highest weight representations of the Lie algebra gl∞

✍ Scribed by Ch. D. Palev


Publisher
Springer US
Year
1990
Tongue
English
Weight
154 KB
Volume
24
Category
Article
ISSN
0016-2663

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Weight sum formulae in Lie algebra repre
✍ John M. Burns; Michael J. Clancy 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 126 KB

Many formulae in the representation theory of Lie algebras involve sums of weights, the most celebrated being that of H. Weyl [Math. Z. 24 (1926) 377-395]. In this note we will derive some elementary, but very useful, formulae for summing subsets of weights of a Lie algebra representation. We also g