The Boundary of the Gelfand-Tsetlin Graph: New Proof of Borodin-Olshanski's Formula, and its q-analogue

zbMath1297.05249arXiv1208.3443MaRDI QIDQ2876637

Leonid Petrov

Publication date: 19 August 2014

Full work available at URL: https://arxiv.org/abs/1208.3443

zbMATH Keywords

\(q\)-deformationGelfand-Tsetlin graphinverse Vandermonde matrixskew Schur polynomialsEdrei-Voiculescu theoremtrapezoidal Gelfand-Tsetlin schemes

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Martin boundary theory (31C35) Graph theory (05C99) Quantizations, deformations for selfadjoint operator algebras (46L65) Analysis on and representations of infinite-dimensional Lie groups (22E66)

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