Generalized (co)homology of the loop spaces of classical groups and the universal factorial Schur $P$- and $Q$-functions

zbMath1378.57045arXiv1310.8008MaRDI QIDQ4590925

Masaki Nakagawa, Hiroshi Naruse

Publication date: 20 November 2017

Full work available at URL: https://arxiv.org/abs/1310.8008

zbMATH Keywords

Hopf algebrasSchur \(Q\)-functionsloop spacesSchur \(P\)-functionsLazard ringgeneralized (co)homology theory

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Loop spaces (55P35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homology and cohomology of (H)-spaces (57T25)

Related Items (8)

The universal factorial Hall–Littlewood $P$- and $Q$-functions ⋮ Linear transformations of vertex operators of Hall-Littlewood polynomials ⋮ A generalization of Schur's \(P\)- and \(Q\)-functions ⋮ Stability of Bott–Samelson Classes in Algebraic Cobordism ⋮ Darondeau-Pragacz formulas in complex cobordism ⋮ Universal Gysin formulas for the universal Hall-Littlewood functions ⋮ Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism ⋮ Neutral-fermionic presentation of the \(K\)-theoretic \(Q\)-function

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