Gröbner–Shirshov bases for metabelian Lie algebras
✍ Scribed by Yongshan Chen; Yuqun Chen
- Book ID
- 113675483
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 260 KB
- Volume
- 358
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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We show that a set of monic polynomials in a free Lie superalgebra is a Grobner᎐Shirshov basis for a Lie superalgebra if and only if it is a Grobner᎐Shirshov basis for its universal enveloping algebra. We investigate the structure of Grobner᎐Shirshov bases for Kac᎐Moody superalgebras and give ëxplic
In this paper, we study the structure of Specht modules over Hecke algebras using the Gröbner-Shirshov basis theory for the representations of associative algebras. The Gröbner-Shirshov basis theory enables us to construct Specht modules in terms of generators and relations. Given a Specht module S