### On classical $r$-matrix for the Kowalevski gyrostat on $\text{so}\left(4\right)$.

Komarov, Igor V., Tsiganov, Andrey V. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Komarov, Igor V., Tsiganov, Andrey V. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Kuznetsov, Vadim, Sklyanin, Evgeny (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Petrera, Matteo, Ragnisco, Orlando (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Tatiana Klimchuk, Vladimir V. Sergeichuk (2014)

Special Matrices

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L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331 (2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformations A ↦ ˜S−1AS in which S is a nonsingular quaternion matrix and h = a + bi + cj + dk ↦ ˜h := a − bi + cj − dk (a, b, c, d ∈ ℝ). We give an analogous canonical form of a quaternion matrix with respect to consimilarity transformations A ↦^S−1AS in which h ↦ ^h is an arbitrary involutive automorphism...

Gleb Arutyunov (1997)

Banach Center Publications

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By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.

Sakhnovich, Alexander (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Chervov, Alexander, Falqui, Gregorio, Rybnikov, Leonid (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Sakka, Ayman Hashem (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Lin, Runliang, Yao, Haishen, Zeng, Yunbo (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Zhang, X. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Takasaki, Kanehisa (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Dimakis, Aristophanes, Müller-Hoissen, Folkert (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Kostadin Trenčevski (2011)

Kragujevac Journal of Mathematics

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