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This article is cited in 5 scientific papers (total in 5 papers)
Decomposable skew-symmetric functions
S. V. Duzhin St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
A skew-symmetric function $F$ in several variables is said to be decomposable if it can be represented as a determinant $\det(f_i(x_j))$ where $f_i$ are univariate functions. We give a criterion of the decomposability in terms of a Plücker-type identity imposed on the function $F$.
Key words and phrases:
Skew-symmetric function, determinant, decomposable, Plücker relation.
Received: October 30, 2002
Citation:
S. V. Duzhin, “Decomposable skew-symmetric functions”, Mosc. Math. J., 3:3 (2003), 881–888
Linking options:
https://www.mathnet.ru/eng/mmj113 https://www.mathnet.ru/eng/mmj/v3/i3/p881
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Abstract page: | 222 | References: | 65 |
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