Galois orders of symmetric differential operators
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Galois orders of symmetric differential operators
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| Creator |
Futorny, V.
Schwarz, J. |
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| Description |
In this survey we discuss the theory of Galois rings and orders developed in ([20], [22]) by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras ([4]) and of the universal enveloping algebras of Lie algebras. It also had an impact on the structure theory of algebras. In particular, this abstract framework has provided a new proof of the Gelfand-Kirillov Conjecture ([24]) in the classical and the quantum case for gln and sln in~[18] and~[21], respectively. We will give a detailed proof of the Gelfand-Kirillov Conjecture in the classical case and show that the algebra of symmetric differential operators has a structure of a Galois order. |
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| Date |
2019-06-17T15:32:40Z
2019-06-17T15:32:40Z 2017 |
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| Type |
Article
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| Identifier |
Galois orders of symmetric differential operators / V. Futorny, J. Schwarz // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 35-46. — Бібліогр.: 41 назв. — англ.
1726-3255 2010 MSC:13N10, 16D30, 16S32, 16S85. http://dspace.nbuv.gov.ua/handle/123456789/155929 |
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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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