An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras-Reference-Cited by-同舟云学术

An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras

Published:2017-02 Issue: Volume:471 Page:492-510
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Cavallin Mikaël

Funder

Swiss National Science Foundation

ERC

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference15 articles.

1. Irreducible geometric subgroups of classical algebraic groups;Burness;Mem. Amer. Math. Soc.,2016

2. Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines;Bourbaki,1968

3. Simple Groups of Lie Type;Carter,1989

4. A closed formula for weight multiplicities of representations of Sp2(C);Cagliero;Manuscripta Math.,2004

5. Lie Algebras: Theory and Algorithms;de Graaf,2000

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiplicity-free Representations of Algebraic Groups;Memoirs of the American Mathematical Society;2024-02

2. Multiplicity-free representations of algebraic groups II;Journal of Algebra;2021-07

3. A new family of irreducible subgroups of the orthogonal algebraic groups;Transactions of the American Mathematical Society, Series B;2019-01-02

4. Weight multiplicity formulas for bivariate representations of classical Lie algebras;Journal of Mathematical Physics;2018-08

5. Structure of certain Weyl modules for the Spin groups;Journal of Algebra;2018-07