Isomorphisms of Some Quantum Spaces

被引:11
作者
Gaddis, Jason [1 ]
机构
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
来源
RING THEORY AND ITS APPLICATIONS: RING THEORY SESSION IN HONOR OF T.Y. LAM ON HIS 70TH BIRTHDAY | 2014年 / 609卷
关键词
SKEW POLYNOMIAL-RINGS; PRIME IDEALS; ALGEBRAS;
D O I
10.1090/conm/609/12151
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider a series of questions that grew out of determining when two quantum planes are isomorphic. In particular, we consider a similar question for quantum matrix algebras and certain ambiskew polynomial rings. Additionally, we modify a result by Alev and Dumas to show that two quantum Weyl algebras are isomorphic if and only if their parameters are equal or inverses of each other.
引用
收藏
页码:107 / 116
页数:10
相关论文
共 12 条
[1]   FIELD OF FRACTIONS OF CERTAIN QUANTUM ALGEBRAS [J].
ALEV, J ;
DUMAS, F .
JOURNAL OF ALGEBRA, 1994, 170 (01) :229-265
[2]   Rigidity of embeddings of minimal primitive quotients of U-q(sl(2)) in the Weyl-Hayashi quantum algebra [J].
Alev, J ;
Dumas, F .
NAGOYA MATHEMATICAL JOURNAL, 1996, 143 :119-146
[3]  
Awami M., 1988, Bull. Soc. Math. Belg. Ser. A, V40, P175
[4]  
Brown Ken A., 2002, ADV COURSES MATH
[5]  
Demidov E. E., 1990, PROG THEOR PHYS SUPP, V102, P203, DOI 10.1143/PTPS.102.203
[6]  
Gaddis, 2013, THESIS U WISCONSIN M
[7]   PRIME IDEALS IN SKEW POLYNOMIAL-RINGS AND QUANTIZED WEYL ALGEBRAS [J].
GOODEARL, KR .
JOURNAL OF ALGEBRA, 1992, 150 (02) :324-377
[8]   HEIGHT ONE PRIME IDEALS OF CERTAIN ITERATED SKEW POLYNOMIAL-RINGS [J].
JORDAN, DA .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1993, 114 :407-425
[9]  
MAKARLIMANOV L, 1984, B SOC MATH FR, V112, P359
[10]  
Mori I., 2006, ALGEBRAS RINGS THEIR, P215