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Grobner-Shirshov basis theory for irreducible sl_(n+1)-modules
Cited 37 time in
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Cited 35 time in Scopus
- Authors
- Issue Date
- 2000
- Publisher
- Elsevier
- Citation
- J. Algebra 232 (2000), 1-20
- Keywords
- Grobner-Shirshov basis theory
- Abstract
- We determine the Gr¨obner–Shirshov bases for finite-dimensional irreducible representations
of the special linear Lie algebra sln+1 and construct explicit monomial
bases for these representations. We also show that each of these monomial bases
is in 1–1 correspondence with the set of semistandard Young tableaux of a given
shape.
- ISSN
- 0021-8693
- Language
- English
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