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Normal Form in Filtered Lie Algebra Representations

✍ Scribed by Jan A. Sanders

Book ID
106334566
Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
391 KB
Volume
87
Category
Article
ISSN
0167-8019

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πŸ“œ SIMILAR VOLUMES

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Normal Forms for Representations of Representation-finite Algebras
✍ Peter DrΓ€xler πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 253 KB

Using the CREP system we show that matrix representations of representation-finite algebras can be transformed into normal forms consisting of (0, 1)-matrices.

Weight sum formulae in Lie algebra repre
Weight sum formulae in Lie algebra representations
✍ John M. Burns; Michael J. Clancy πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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