Immanants, Schur Functions, and the Macmahon Master Theorem

DOI10.2307/2159206zbMath0756.15010OpenAlexW4246669936MaRDI QIDQ4013470

David M. Jackson, Ian P. Goulden

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159206

zbMATH Keywords

idempotentspermanentsdeterminantimmanantSymmetric functionsMac Mahon Master theoremYoung tableaus

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30)

Related Items (9)

Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements ⋮ On Goulden-Jackson's determinantal formula for the immanant ⋮ Angular momentum theory, umbral calculus, and combinatorics ⋮ On the orthogonal dimension of orbital sets ⋮ Tensors, matchings and codes ⋮ The combinatorics of a class of representation functions ⋮ Unified framework for generalized statistics: canonical partition function, maximum occupation number, and permutation phase of wave function ⋮ Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson

Cites Work

• Inequalities and identities for generalized matrix functions
• Immanants of combinatorial matrices
• The unification of certain enumeration problems for sequences
• Laguerre Polynomials, Weighted Derangements, and Positivity
• Symmetric functions and raising operators
• Invariant theory, tensors and group characters
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Immanants, Schur Functions, and the Macmahon Master Theorem