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- W3048481510 abstract "Abstract We present a full list of all representations of the special linear group SL n over the complex numbers with complete intersection invariant ring of homological dimension greater than or equal to two, completing the classification of Shmelkin. For this task, we combine three techniques. Firstly, the graph method for invariants of SL n developed by the author to compute invariants, covariants and explicit forms of syzygies. Secondly, a new algorithm for finding a monomial order such that a certain basis of an ideal is a Gröbner basis with respect to this order, in between usual Gröbner basis computation and computation of the Gröbner fan. Lastly, a modification of an algorithm by Xin for MacMahon partition analysis to compute Hilbert series." @default.
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- W3048481510 date "2020-08-11" @default.
- W3048481510 modified "2023-09-23" @default.
- W3048481510 title "Completing the Classification of Representations of SLn with Complete Intersection Invariant Ring" @default.
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- W3048481510 doi "https://doi.org/10.1007/s00031-020-09605-0" @default.
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