Partial differential equation approach to \(F_4\)

DOI10.1007/s11464-011-0131-zzbMath1282.17014OpenAlexW1964426942WikidataQ115377949 ScholiaQ115377949MaRDI QIDQ2434208

Xiaoping Xu

Publication date: 17 February 2014

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0131-z

zbMATH Keywords

harmonic polynomialLie algebrapartial differential equationsingular vector\(F_4\)-module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Related Items

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Invariants d'un sous-groupe unipotent maximal d'un groupe semi-simple
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Lie algebra homology and the Macdonald-Kac formulas
• Affine root systems and Dedekind's \(\eta\)-function
• Introduction to Lie Algebras and Representation Theory