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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 439, Pages 59–73 (Mi znsl6200)

This article is cited in 2 papers

The realizability problem for values of the length function for quasi-commuting matrix pairs

A. E. Guterman, O. V. Markova

Lomonosov Moscow State University, Moscow, Russia

Abstract: The paper continues the investigation of the lengths of quasi-commuting matrix pairs; specifically, it considers the problem of realizability of different positive integers as values of the length function for quasi-commuting matrix pairs.

Key words and phrases: finite-dimensional algebras, length function, quasi-commuting matrices.

UDC: 512.643+512.552

Received: 03.11.2015


 English version:
Journal of Mathematical Sciences (New York), 2016, 216:6, 761–769

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