MONOMIAL BASES FOR SOME IRREDUCIBLE 𝔤2-MODULES

DOI10.1142/S0219498810004142zbMath1210.17012OpenAlexW2085581244MaRDI QIDQ3056454

Dong-il Lee

Publication date: 12 November 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498810004142

zbMATH Keywords

Gröbner-Shirshov base

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Exceptional (super)algebras (17B25) Computational aspects of associative rings (general theory) (16Z05) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (2)

Standard monomials for the Weyl group F4 ⋮ Gröbner-Shirshov Bases for Exceptional Lie Superalgebras

Cites Work

• Gröbner-Shirshov bases for exceptional Lie algebras. I
• Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras
• Gröbner-Shirshov bases for irreducible \(sl_{n+1}\)-modules
• Hecke algebras, Specht modules and Gröbner-Shirshov bases.
• Linear algebraic approach to Gröbner-Shirshov basis theory
• GROBNER-SHIRSHOV BASES FOR IRREDUCIBLE sp₄-MODULES
• SERRE RELATIONS AND GRÖBNER-SHIRSHOV BASES FOR SIMPLE LIE ALGEBRAS I
• Representations of Ariki–Koike algebras and Gröbner–Shirshov bases

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