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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 5, Pages 187–209
(Mi fpm1443)
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Framed moduli spaces and tuples of operators
S. N. Fedotov M. V. Lomonosov Moscow State University
Abstract:
In this work, we address the classical problem of classifying tuples of linear operators and linear functions on a finite-dimensional vector space up to base change. Having adopted for the situation considered a construction of framed moduli spaces of quivers, we develop an explicit classification of tuples belonging to a Zariski open subset. For such tuples we provide a finite family of normal forms and a procedure allowing one to determine whether two tuples are equivalent.
Citation:
S. N. Fedotov, “Framed moduli spaces and tuples of operators”, Fundam. Prikl. Mat., 17:5 (2012), 187–209; J. Math. Sci., 193:4 (2013), 606–621
Linking options:
https://www.mathnet.ru/eng/fpm1443 https://www.mathnet.ru/eng/fpm/v17/i5/p187
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Statistics & downloads: |
Abstract page: | 489 | Full-text PDF : | 130 | References: | 38 | First page: | 2 |
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