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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	529-539
Number of pages	11
Journal	Communications in Algebra
Volume	29
Issue number	2
DOIs	https://doi.org/10.1081/AGB-100001522
State	Published - 2001

Keywords

(Hopf) module algebra
Quantized enveloping algebra
Quantum n-space
q-differential operators

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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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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

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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

Abstract

Keywords

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