Universal property of skew PBW extensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Universal property of skew PBW extensions
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| Creator |
Acosta, J,.P.
Lezama, O. |
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| Description |
In this paper we prove the universal property of skew $PBW$ extensions generalizing this way the well known universal property of skew polynomial rings. For this, we will show first a result about the existence of this class of non-commutative rings. Skew $PBW$ extensions include as particular examples Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials, diffusion algebras, Manin algebra of quantum matrices, among many others. As a corollary we will give a new short proof of the Poincar\'{e}-Birkhoff-Witt theorem about the bases of enveloping algebras of finite-dimensional Lie algebras.
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| Date |
2019-06-15T20:00:54Z
2019-06-15T20:00:54Z 2015 |
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| Type |
Article
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| Identifier |
Universal property of skew PBW extensions / J,.P. Acosta, O. Lezama // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 1-12 . — Бібліогр.: 10 назв. — англ.
1726-3255 2010 MSC:Primary: 16S10, 16S80; Secondary: 16S30, 16S36. http://dspace.nbuv.gov.ua/handle/123456789/154757 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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