Automorphisms of the Algebra of q-Difference Operators

被引:0
|
作者
Kaiming Zhao
机构
关键词
The algebra of differential operators; The algebra of q-difference operators; Automorphism;
D O I
暂无
中图分类号
O153 [抽象代数(近世代数)];
学科分类号
070104 ;
摘要
In this paper, automorphisms of the algebra of q-difference operators, as an associativealgebra for arbitrary q and as a Lie algebra for q being not a root of unity, are determined.
引用
收藏
页码:145 / 152
页数:8
相关论文
共 50 条
  • [1] Automorphisms of the algebra of q-difference operators
    Zhao, KM
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 1999, 15 (02): : 145 - 152
  • [2] Q-DIFFERENCE INTERTWINING-OPERATORS FOR A LORENTZ QUANTUM ALGEBRA
    DABROWSKI, L
    DOBREV, VK
    FLOREANINI, R
    JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (02) : 971 - 985
  • [3] Algebra of q-difference operators, affine vertex algebras, and their modules
    Guo, Hongyan
    JOURNAL OF ALGEBRA, 2021, 585 : 69 - 88
  • [4] q-difference operators for orthogonal polynomials
    Ismail, Mourad E. H.
    Simeonov, Plamen
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (03) : 749 - 761
  • [5] Multiplicity estimates for q-difference operators
    Bertrand, Daniel
    DIOPHANTINE GEOMETRY, PROCEEDINGS, 2007, 4 : 65 - 71
  • [6] Automorphisms of the algebra ofq-difference operators
    Kaiming Zhao
    Acta Mathematica Sinica, 1999, 15 : 145 - 152
  • [7] Twisted Representations of Algebra of q-Difference Operators, Twisted q-W Algebras and Conformal Blocks
    Bershtein, Mikhail
    Gonin, Roman
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020, 16
  • [8] Hochschild and cyclic homology of Q-difference operators
    Guccione, JA
    Guccione, JJ
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1995, 35 (03): : 413 - 422
  • [9] Irreducibility of q-difference operators and the knot 74
    Garoufalidis, Stavros
    Koutschan, Christoph
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2013, 13 (06): : 3261 - 3286
  • [10] ON SECOND-ORDER q-DIFFERENCE OPERATORS
    Sertbas, Meltem
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2024, 73 (04): : 1040 - 1049