Algebra embedding of U_q(sl(2)) into the tensor product of two (q,h)-Weyl algebras

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• 作者：Galina Filipuk^a ; ^{filipuk@mimuw.edu.pl" class="auth_mail" title="E-mail the corresponding author} ; Stefan Hilger^b ; ^{Stefan.Hilger@ku.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：16T20 ; 17B37 ; 39A13
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：220
• 期：5
• 页码：2049-2063
• 全文大小：354 K

文摘

In this paper we study relations between different (q,h)$(q,h)$-Weyl algebras. We also show an embedding of the q  -deformed universal enveloping algebra U_q=U_q(sl(2))$U_q=U_q(\text{sl}(2))$ into a tensor product of two (q,h)$(q,h)$-Weyl algebras when q≠1$q\ne 1$. This allows us to study the limiting case q→1$q\to 1$ in the so-called structure ladder of U_q$U_q$.