Realization of quantized algebra of type A as Hopf algebra over quantum space

Naihong Hu

doi:10.1081/AGB-100001522

Realization of quantized algebra of type A as Hopf algebra over quantum space

Naihong Hu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

A natural q-differential operator realization of quantized universal enveloping algebra U_q(g) of type A_n-1 as Hopf algebra over its quantum n-space A^n|0_q is established. This answers the question asked by Montgomery and Smith. (Israel J. of Math. 1990, 72 (1/2), 158-166).

源语言	英语
页（从-至）	529-539
页数	11
期刊	Communications in Algebra
卷	29
期	2
DOI	https://doi.org/10.1081/AGB-100001522
出版状态	已出版 - 2001

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10.1081/AGB-100001522

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title = "Realization of quantized algebra of type A as Hopf algebra over quantum space",

abstract = "A natural q-differential operator realization of quantized universal enveloping algebra Uq(g) of type An-1 as Hopf algebra over its quantum n-space An|0q is established. This answers the question asked by Montgomery and Smith. (Israel J. of Math. 1990, 72 (1/2), 158-166).",

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author = "Naihong Hu",

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AB - A natural q-differential operator realization of quantized universal enveloping algebra Uq(g) of type An-1 as Hopf algebra over its quantum n-space An|0q is established. This answers the question asked by Montgomery and Smith. (Israel J. of Math. 1990, 72 (1/2), 158-166).

KW - (Hopf) module algebra

KW - Quantized enveloping algebra

KW - Quantum n-space

KW - q-differential operators

UR - https://www.scopus.com/pages/publications/0039783919

U2 - 10.1081/AGB-100001522

DO - 10.1081/AGB-100001522

M3 - 文章

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JO - Communications in Algebra

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Realization of quantized algebra of type A as Hopf algebra over quantum space

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