Plethysm and vertex operators

DOI10.1016/0196-8858(92)90018-RzbMath0782.05089MaRDI QIDQ1802348

Christophe Carré, Jean-Yves Thibon

Publication date: 6 October 1993

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetric functionsvertex operatorsplethysmrepresentations of Kac-Moody algebras

Mathematics Subject Classification ID

Related Items (17)

Combinatorial proof for a stability property of plethysm coefficients ⋮ Gauss maps and plethysm ⋮ Stability properties of the plethysm: a combinatorial approach ⋮ The classification of multiplicity-free plethysms of Schur functions ⋮ Some stable plethysms ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Equations for secant varieties of Chow varieties ⋮ A note on Cauchy's formula ⋮ Unnamed Item ⋮ On the growth of Kronecker coefficients ⋮ Plethysm and lattice point counting ⋮ Witt vectors. Part 1 ⋮ A comment on the combinatorics of the vertex operator \(\Gamma_{(t|X)}\) ⋮ No occurrence obstructions in geometric complexity theory ⋮ Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials ⋮ Stable properties of plethysm: On two conjectures of Foulkes ⋮ Secants of minuscule and cominuscule minimal orbits

Cites Work

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• Solitons and infinite dimensional Lie algebras
• Some observations of plethysms
• HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS
• S-function series
• Group Characters and the Structure of Groups
• Branching rules for U(N)⊃U(M) and the evaluation of outer plethysms
• On the Analysis of Representations of the Linear Group
• A Generalization of Hermite's Law of Reciprocity
• Plethysm of S -Functions
• ON THE ANALYSES OF { m } [unk { 1 ^k } AND { m } [unk] { k }]

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