# On classical r matrix for the Kowalevski gyrostat on so(4)

## Abstract

We present the trigonometric Lax matrix and classical r matrix for the Kowalevski gyrostat on so(4) algebra by using auxiliary matrix algebras so(3,2) or sp(4)

- Authors:

- St. Petersburg State University (Russian Federation), E-mail: andrey-ts@yandex.ru

- Publication Date:

- OSTI Identifier:
- 21075915

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 3; Other Information: DOI: 10.1134/S1063778807030155; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; LAX THEOREM; R MATRIX; ROTATION; SO GROUPS; SO-4 GROUPS; SP GROUPS; SYMMETRY

### Citation Formats

```
Komarov, I. V., E-mail: ivkoma@rambler.ru, and Tsiganov, A. V..
```*On classical r matrix for the Kowalevski gyrostat on so(4)*. United States: N. p., 2007.
Web. doi:10.1134/S1063778807030155.

```
Komarov, I. V., E-mail: ivkoma@rambler.ru, & Tsiganov, A. V..
```*On classical r matrix for the Kowalevski gyrostat on so(4)*. United States. doi:10.1134/S1063778807030155.

```
Komarov, I. V., E-mail: ivkoma@rambler.ru, and Tsiganov, A. V.. Thu .
"On classical r matrix for the Kowalevski gyrostat on so(4)". United States.
doi:10.1134/S1063778807030155.
```

```
@article{osti_21075915,
```

title = {On classical r matrix for the Kowalevski gyrostat on so(4)},

author = {Komarov, I. V., E-mail: ivkoma@rambler.ru and Tsiganov, A. V.},

abstractNote = {We present the trigonometric Lax matrix and classical r matrix for the Kowalevski gyrostat on so(4) algebra by using auxiliary matrix algebras so(3,2) or sp(4)},

doi = {10.1134/S1063778807030155},

journal = {Physics of Atomic Nuclei},

number = 3,

volume = 70,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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