The Coefficient Extention of Induction Functor H(-) over Quantum Algebras

LIU Chu-yuan

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The Coefficient Extention of Induction Functor H(-) over Quantum Algebras

更新时间：2026-07-10

- The Coefficient Extention of Induction Functor H(-) over Quantum Algebras
- Vol. 16, Issue 2, Pages: 87-89(2011)
- 作者机构：
  
  汕头职业技术学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O152
- Published：2011
- 稿件说明：
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LIU Chu-yuan. The Coefficient Extention of Induction Functor H(-) over Quantum Algebras[J]. 2011, 16(2): 87-89.
DOI：

LIU Chu-yuan. The Coefficient Extention of Induction Functor H(-) over Quantum Algebras[J]. 2011, 16(2): 87-89. DOI：

摘要

令U为量子代数

则A(U)表示以A为基环的量子代数U的量子坐标代数.当基环A扩张为A代数Γ时

相应的A(U)变为Γ[UΓ].本文主要指出从Γ-模范畴到UΓ-模范畴的函子HΓ(-)是正合共变的

同时

若Γ作为A-模是平坦的

则Γ[UΓ]作为Γ-模是自由的.

Abstract

Let U be a quantum algebra

and A(U) which takes A as the based ring be the quantum coordinate algebra of U.When the base ring A expands into A algebra Γ

we mark the corresponding A(U) to Γ.In this paper

the author points out that functor HΓ(-) from Γ-module categories to UΓ-module categories is exact and covariant.Also

Γ as a Γ-module is free

while if Γ as a A-module is flat.

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