Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
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Publication:1588383
DOI10.1006/jabr.2000.8381zbMath1023.17001OpenAlexW2069811376MaRDI QIDQ1588383
Publication date: 13 March 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2000.8381
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Identities, free Lie (super)algebras (17B01)
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Cites Work
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- The diamond lemma for ring theory
- Down-up algebras
- Gröbner-Shirshov bases for exceptional Lie algebras. I
- Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras
- Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
- Hecke algebras, Specht modules and Gröbner-Shirshov bases.
- SERRE RELATIONS AND GRÖBNER-SHIRSHOV BASES FOR SIMPLE LIE ALGEBRAS I
- Standard Lyndon Bases of Lie Algebras and Enveloping Algebras
- A Basis for Free Lie Rings and Higher Commutators in Free Groups
- Free differential calculus. IV: The quotient groups of the lower central series
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