Abstract
In this paper we discuss the Gröbner-Shirshov basis theory for representations of Lie algebras and Hecke algebras of type A. We describe Gröbner-Shirshov pairs and monomial bases for the Weyl modules over the special linear Lie algebras, and present the structure of the Specht modules over the Hecke algebras through Gröbner-Shirshov pairs and monomial bases.
This research was supported by KOSEF Grant # 98-0701-01-5-L.
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Lee, KH. (2003). Gröbner-Shirshov Bases for Representations of Lie Algebras and Hecke Algebras of Type A . In: Proceedings of the Third International Algebra Conference. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0337-6_7
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DOI: https://doi.org/10.1007/978-94-017-0337-6_7
Publisher Name: Springer, Dordrecht
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