Polynomial identities for matrices symmetric with respect to the symplectic involution

Autor:	Jordan Dale Hill
Rok vydání:	2012
Předmět:	Involution (mathematics) Involution Multilinear map Algebra and Number Theory Matrix ⁎-Identity Polynomial Matrix polynomial Symmetric Combinatorics Symplectic Matrix (mathematics) Symplectic vector space Symmetric polynomial Identity Subspace topology Mathematics Symplectic geometry
Zdroj:	Journal of Algebra. 349:8-21
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2011.10.023
Popis:	Let m>1 be a positive integer, F be a field, and let H2m(F,s) denote the subspace of M2m(F) of matrices symmetric with respect to the symplectic involution. We show that H2m(F,s) satisfies a multilinear identity of degree 4m−3, and via this identity we obtain a refinement of a theorem of Rowen concerning s4m−2, a so-called “standard” polynomial identity for H2m(F,s).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9348acef093d67ab1a0e99aa6506f883 https://doi.org/10.1016/j.jalgebra.2011.10.023 Zobrazit plný text záznamu Full Text from ScienceDirect