Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities

zbMath1192.15001arXiv0809.3516MaRDI QIDQ2380261

Andrea Sportiello, Alan D. Sokal, Sergio Caracciolo

Publication date: 26 March 2010

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3516

zbMATH Keywords

Weyl algebrarepresentation theorydeterminantpermanentCapelli identityclassical invariant theorynoncommutative determinantnoncommutative ringManin matrixCartier-Foata matrixright-quantum matrixTurnbull identityCayley identityHowe-Umeda-Kostant-Sahi identityCauchy-Binet theoremcolumn-determinantrow-determinant

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15)

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