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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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We study analytic families of skew-symmetric matrices. We consider them up to G-equivalence, i.e., up to parameter-dependent linear base changes and parameter changes. We obtain necessary existence conditions for simple families of this type in terms of number of parameters, matrix size and 1-jet rank. We also present normal forms of skew-symmetric matrix families with 1-jet corank zero and one.