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Automorphisms of the algebra ofq-difference operators

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Abstract

In this paper, automorphisms of the algebra ofq-difference operators, as an associative algebra for arbitraryq and as a Lie algebra forq being not a root of unity, are determined.

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References

  1. K Zhao. Automorphisms of algebras of differential operators. J of Capital Normal University, 1994, 15(1): 1–7

    Google Scholar 

  2. K Zhao. Lie algebra of derivations of algebras of differential operators. Chinese Science Bulletin, 1994, 37(2): 100–103

    Google Scholar 

  3. K Zhao. Classification of a kind of irreducible Harish-Chandra modules over the algebras of differential operators. (in Chinese), Acta Mathematica Sinica, 1994, 37(3): 332–337

    MATH  Google Scholar 

  4. C Kassel. Cyclic homology of differential operators, the Virasoro algebra and aq-analogue. Comm Math Phys, 1992, 146: 343–356

    Article  MATH  Google Scholar 

  5. V G Kac, A Radul. Quasifinite highest, weight modules over the Lie algebra of differential operators on the circle. Comm Math Phys, 1993, 157: 429–256

    Article  MATH  Google Scholar 

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Project supported by the NNSF of China

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Zhao, K. Automorphisms of the algebra ofq-difference operators. Acta Mathematica Sinica 15, 145–152 (1999). https://doi.org/10.1007/BF02650657

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  • DOI: https://doi.org/10.1007/BF02650657

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