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Communications in Algebra Volume 27, 1999 - Issue 5
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Original Articles

Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices

Sei-Qwon Oh Department of Mathematics, Chungnam National University, Taejon, 305-764, Korea E-mail: [email protected]
Pages 2163-2180 | Received 01 Mar 1997, Published online: 27 Jun 2007

Citations (28)

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Read on this site (9)

Y. Van Huynh, Sei-Qwon Oh & Hanna Sim. (2021) Poisson primitive ideals of a Poisson order. Communications in Algebra 49:12, pages 5462-5471.
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Stéphane Launois & César Lecoutre. (2017) Poisson deleting derivations algorithm and Poisson spectrum. Communications in Algebra 45:3, pages 1294-1313.
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Sei-Qwon Oh. (2017) Poisson Hopf algebra related to a twisted quantum group. Communications in Algebra 45:1, pages 76-104.
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Sei-Qwon Oh. (2017) A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra. Communications in Algebra 45:1, pages 60-75.
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Eun-Hee Cho & Sei-Qwon Oh. (2008) Gelfand–Kirillov Dimension of Algebras with a Locally Finite and Multiparameter Indexed Filtration. Communications in Algebra 36:7, pages 2444-2455.
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Sei-Qwon Oh. (2007) Poisson Prime Ideals of Poisson Polynomial Rings. Communications in Algebra 35:10, pages 3007-3012.
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Sei-Qwon Oh. (2006) Poisson Polynomial Rings. Communications in Algebra 34:4, pages 1265-1277.
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Sei-Qwon Oh, Chun-Gil Park & Yong-Yeon Shin. (2002) A POINCARÉ-BIRKHOFF-WITT THEOREM FOR POISSON ENVELOPING ALGEBRAS. Communications in Algebra 30:10, pages 4867-4887.
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Sei-Qwon Oh. (1999) Poisson enveloping algebras. Communications in Algebra 27:5, pages 2181-2186.
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Articles from other publishers (19)

K. Goodearl & M. Yakimov. (2023) Cluster algebra structures on Poisson nilpotent algebras. Memoirs of the American Mathematical Society 290:1445.
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Thomas Guédénon. (2022) Fundamental Theorem of Poisson (A,H)-Hopf modules. Journal of Algebra 595, pages 216-243.
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Sei-Qwon Oh & Hanna Sim. (2021) Simple Poisson Ore extensions. Archiv der Mathematik 118:2, pages 133-142.
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Mikhail Ignatyev & Alexey Petukhov. (2021) The orbit method for locally nilpotent infinite-dimensional Lie algebras. Journal of Algebra 585, pages 501-557.
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Juan Luo, Xingting Wang & Quanshui Wu. (2021) Poisson Dixmier-Moeglin equivalence from a topological point of view. Israel Journal of Mathematics 243:1, pages 103-139.
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Thomas Guédénon. (2020) Brauer–Clifford group of Azumaya–Poisson (S, H)-algebras. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61:3, pages 551-570.
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Cesar Lecoutre & Lewis Topley. (2019) On the Semi-centre of a Poisson Algebra. Algebras and Representation Theory 23:3, pages 875-886.
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Stéphane Launois & Lewis Topley. (2019) The orbit method for Poisson orders. Proceedings of the London Mathematical Society 120:1, pages 65-94.
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Xianguo Hu, Jiafeng Lü & Xingting Wang. (2018) PBW-Basis for Universal Enveloping Algebras of Differential Graded Poisson Algebras. Bulletin of the Malaysian Mathematical Sciences Society 42:6, pages 3343-3377.
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T. Guédénon. (2019) The Brauer group of Azumaya–Poisson S-algebras. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 60:3, pages 571-585.
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Stéphane Launois & Omar León Sánchez. (2019) On the Dixmier–Moeglin equivalence for Poisson–Hopf algebras. Advances in Mathematics 346, pages 48-69.
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CESAR LECOUTRE & SUSAN J. SIERRA. (2017) A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS. Nagoya Mathematical Journal 233, pages 32-86.
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Siân Fryer. (2017) The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit. Transactions of the London Mathematical Society 4:1, pages 1-29.
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David A. Jordan & Sei-Qwon Oh. (2014) Poisson spectra in polynomial algebras. Journal of Algebra 400, pages 56-71.
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David A. Jordan. (2008) Finite-Dimensional Simple Poisson Modules. Algebras and Representation Theory 13:1, pages 79-101.
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K. R. Goodearl. 2010. Advances in Ring Theory. Advances in Ring Theory 165 204 .
Sei-Qwon Oh. (2008) Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces. Journal of Algebra 319:11, pages 4485-4535.
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Sei-Qwon Oh & Eun-Hee Cho. (2009) The group of Poisson automorphisms of the Poisson symplectic space. Bulletin of the Australian Mathematical Society 71:3, pages 505-516.
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J Gómez-Torrecillas & L EL Kaoutit. (2001) Prime and Primitive Ideals of a Class of Iterated Skew Polynomial Rings. Journal of Algebra 244:1, pages 186-216.
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