Blocks in weight spaces in the root lattice (Q753932)
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scientific article; zbMATH DE number 4181588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blocks in weight spaces in the root lattice |
scientific article; zbMATH DE number 4181588 |
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Blocks in weight spaces in the root lattice (English)
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1990
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This paper is a continuation of a series of papers by the author [cf. J. Algebra 96, 9-17 (1985; Zbl 0603.17005), 122, 81-97 (1989; Zbl 0677.17006), 123, 171-184 (1989; Zbl 0677.17007) and Proc. Am. Math. Soc. 106, 81-86 (1989; Zbl 0681.17007)] in which he studies the arithmetic of weight spaces of highest weight modules in the root lattice of a Lie algebra. The main result is a combinatorial formula relating the number of weights which are sums of nonsimple roots to a version of Kostant's partition function.
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eigenvector approach to restricted modular Weyl problem
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weight spaces
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highest weight modules
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root lattice
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Kostant's partition function
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