Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type $${\textsf {E}}_{6}$$ and $${\textsf {E}}_{7}$$ simple Lie algebras-Reference-Cited by-同舟云学术

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Explicit constructions of some infinite families of finite-dimensional irreducible representations of the type $${\textsf {E}}_{6}$$ and $${\textsf {E}}_{7}$$ simple Lie algebras

Published:2023-05-26 Issue: Volume: Page:
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

Donnelly Robert G.,Dunkum Molly W.,White Austin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s00200-023-00603-9.pdf

Reference30 articles.

1. Aigner, M.: Combinatorial Theory. Springer, New York (1979)

2. Beck, K.A.: Distributive lattice models of the type $${B}$$ elementary Weyl group symmetric functions. Master’s thesis, Murray State University (2018)

3. Bremner, M.R., Moody, R.V., Patera, J.: Tables of Dominant Weight Multiplicities for Representations of Semisimple Lie Algebras. Dekker, New York (1985)

4. Donnelly, R.G.: Extremal properties of bases for representations of semisimple Lie algebras. J. Algebraic Combin. 17, 255–282 (2003)

5. Donnelly, R.G.: Finite diamond-colored modular and distributive lattices with applications to combinatorial Lie representation theory. A research monograph. arXiv:1812.04434v3, p. 151 (2022)

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