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Poisson brackets on some skew PBW extensions
Репозиторій DSpace/Manakin
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Poisson brackets on some skew PBW extensions
Інший ID:
DOI:10.12958/adm1037
2010 MSC: 16S10.
2010 MSC: 16S10.
Посилання:
Poisson brackets on some skew PBW extensions / B.A. Zambrano // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 277–302. — Бібліогр.: 8 назв. — англ.
Підтримка:
The author would like to thank Jose Oswaldo Lezama Serrano for many helpful suggestions which were so important to develop the article.
Дата:
2020
Переглядів:
295
Завантажень:
129
Анотація:
In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, which is called the general algebra of quantum polynomials. The main of this paper is to present a generalization of [1] through a description of Poisson brackets on some skew PBW extensions of a ring A by the extensions Oʳ,ⁿq,δ , which are generalization of Oq, and show some examples of skew PBW extension where we can apply this description.
