The quadratic Poisson structures and related nonassociative noncommutative Zinbiel type algebras
<p>There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommutive algebras, compatible with their multiplicative structure. Their relations both with differentiations of the symmetric tensor algebras and Yang-Baxter structures on the adjacent Lie algebr...
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Annals of Mathematics and Physics - Peertechz Publications,
2019-09-16.
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| LEADER | 00000 am a22000003u 4500 | ||
|---|---|---|---|
| 001 | peertech__10_17352_amp_000007 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Orest D Artemovych |e author |
| 700 | 1 | 0 | |a Alexandr Balinsky |e author |
| 700 | 1 | 0 | |a Anatolij K Prykarpatski |e author |
| 245 | 0 | 0 | |a The quadratic Poisson structures and related nonassociative noncommutative Zinbiel type algebras |
| 260 | |b Annals of Mathematics and Physics - Peertechz Publications, |c 2019-09-16. | ||
| 520 | |a <p>There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommutive algebras, compatible with their multiplicative structure. Their relations both with differentiations of the symmetric tensor algebras and Yang-Baxter structures on the adjacent Lie algebras are demonstrated. Special attention is payed to the quadtatic Poisson brackets of the Lie-Poisson type, the examples of the Novikov and Leibniz algebras are discused. The nonassociated structures of commutative algebras related with Novikov, Leibniz, Lie and Zinbiel algebras are studied in details.</p> | ||
| 540 | |a Copyright © Orest D Artemovych et al. | ||
| 546 | |a en | ||
| 655 | 7 | |a Research Article |2 local | |
| 856 | 4 | 1 | |u https://doi.org/10.17352/amp.000007 |z Connect to this object online. |