Representations of \(\text{SL}(2,\mathbb{C})\) and unimodal polynomials.

DOI10.1016/0021-8693(87)90103-7zbMath0624.20028OpenAlexW2090464301MaRDI QIDQ1092167

Gert Almkvist

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90103-7

zbMATH Keywords

partitionsSchur modulesGaussian polynomialsexterior powersirreducible modulesAdams operationsirreducible constituentsspecial linear groupshomogeneous representationssymmetric unimodal polynomials

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Elementary theory of partitions (11P81) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (9)

\(SU(2)\)-equivariant \(K\)-theory of a class of \(C^*\)-algebras and nonhomogeneous random walks ⋮ Proof of a conjecture about unimodal polynomials ⋮ Unimodality of partition polynomials related to Borwein's conjecture ⋮ Invariants for the modular cyclic group of prime order via classical invariant theory ⋮ Unimodality via Kronecker products ⋮ Unimodal polynomials associated with Lie algebras and superalgebras ⋮ Free extensions and Lefschetz properties, with an application to rings of relative coinvariants ⋮ The λstructure of the green ring of GL(2,F_p)in characteristic P ⋮ Exact asymptotic formulas for the coefficients of nonmodular functions

Cites Work

• Representations of Z/pZ in characteristic p and reciprocity theorems
• Some formulas in invariant theory
• Some aspects of groups acting on finite posets
• Invariant theory
• Group Characters and the Structure of Groups
• Theory and Application of Plane Partitions. Part 2
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