Hilbert series associated to symplectic quotients by SU2

Autor: Christopher Seaton, Hans-Christian Herbig, Daniel Herden
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Algebra and Computation. 30:1323-1357
ISSN: 1793-6500
0218-1967
DOI: 10.1142/s0218196720500435
Popis: We compute the Hilbert series of the graded algebra of real regular functions on the symplectic quotient associated to an [Formula: see text]-module and give an explicit expression for the first nonzero coefficient of the Laurent expansion of the Hilbert series at [Formula: see text]. Our expression for the Hilbert series indicates an algorithm to compute it, and we give the output of this algorithm for all representations of dimension at most [Formula: see text]. Along the way, we compute the Hilbert series of the module of covariants of an arbitrary [Formula: see text]- or [Formula: see text]-module as well as its first three Laurent coefficients.
Databáze: OpenAIRE
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