Determinants of finite potent endomorphisms, symbols and reciprocity laws

DOI10.1016/j.laa.2013.02.033zbMath1281.15005arXiv1011.2044OpenAlexW2963952135MaRDI QIDQ389614

Fernando Pablos Romo, Daniel Hernández Serrano

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2044

zbMATH Keywords

Hilbert spaceloop groupscentral extension of groupsfinite potent endomorphismGrothendieck's determinantinfinite determinantSegal-Wilson pairing

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Loops, quasigroups (20N05)

Related Items

A general reciprocity law for symbols on arbitrary vector spaces, On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices, Classification of finite potent endomorphisms, Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms, On bounded finite potent operators on arbitrary Hilbert spaces, Drazin-star and star-Drazin inverses of bounded finite potent operators on Hilbert spaces, On the Drazin inverse of finite potent endomorphisms, On Drazin-Moore-Penrose inverses of finite potent endomorphisms

Cites Work

• Loop groups and equations of KdV type
• Notes on infinite determinants of Hilbert space operators
• La théorie de Fredholm
• On Tate's trace
• A negative answer to the question of the linearity of Tate’s Trace for the sum of two endomorphisms
• Residues of differentials on curves
• Generalization of the determinants for trace-potent linear operators
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