2023/06/07 by И. Г. Козлов, Kozlov, Ivan
Chemistry · Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2306.04831
openalex publication_date 2023/06/07 · openalex created_date 2023/06/10 · openalex updated_date 2026/07/28
In these paper we compute Jordan-Kronecker invariants of Lie algebra representations, introduced earlier by A.V. Bolsinov, A.M. Izosimov and I.K. Kozlov, for a number of representations. In particular, we compute them for the sums of standard representations of gl(n), sl(n), so(n), sp(n), and the Lie algebra of upper triangular matrices b(n); the standard representation of Lie algebra of strictly upper triangular matrices n(n); and for the differential of the congruence action of GL(n) and SL(n) on symmetric forms and skew-symmetric forms.