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Discriminants and automorphism groups of Veronese subrings of skew polynomial rings

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Abstract

We study important invariants and properties of the Veronese subalgebras of q-skew polynomial rings, including their discriminant, center and automorphism group, as well as cancellation property and the Tits alternative.

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Acknowledgements

The authors would like to thank the referee for his/her very careful reading and extremely valuable comments. A.A. Young was partly supported by the US National Science Foundation (NSF Postdoctoral Research Fellowship, No. DMS-1203744) and J.J. Zhang by the US National Science Foundation (No. DMS-1402863).

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, Box 354350, Seattle, WA, 98195, USA

    K. Chan & J. J. Zhang

  2. Department of Mathematics, DigiPen Institute of Technology, Redmond, WA, 98052, USA

    A. A. Young

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  1. K. Chan
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  2. A. A. Young
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  3. J. J. Zhang
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Correspondence to K. Chan.

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Chan, K., Young, A.A. & Zhang, J.J. Discriminants and automorphism groups of Veronese subrings of skew polynomial rings. Math. Z. 288, 1395–1420 (2018). https://doi.org/10.1007/s00209-017-1939-3

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  • DOI: https://doi.org/10.1007/s00209-017-1939-3

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