Gröbner-Shirshov Bases for Representations of Lie Algebras and Hecke Algebras of Type A

Kyu-Hwan Lee ()
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Kyu-Hwan Lee: Seoul National University, Global Analysis Research Center

A chapter in Proceedings of the Third International Algebra Conference, 2003, pp 115-128 from Springer

Abstract: 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.

Keywords: Associative Algebra; Linear Basis; Monomial Basis; Weyl Module; Standard Tableau (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0337-6_7

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DOI: 10.1007/978-94-017-0337-6_7

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