Blocks in weight spaces in the root lattice
type: Item
instance of: scholarly article
title: Blocks in weight spaces in the root lattice
zbMATH Open document ID: 0717.17011
DOI: 10.1016/0021-8693(90)90080-8
author: Robert W. Deckhart
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: 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.
reviewed by: Joachim Hilgert
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 4181588
zbMATH Keywords: eigenvector approach to restricted modular Weyl problem
zbMATH Keywords: weight spaces
zbMATH Keywords: highest weight modules
zbMATH Keywords: root lattice
zbMATH Keywords: Kostant's partition function
MaRDI profile type: Publication
full work available at URL: 0021-8693(90)90080-8
OpenAlex ID: W2028297108
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description: scientific article; zbMATH DE number 4181588