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- W2891490716 abstract "We compute the Hilbert series of the graded algebra of real regular functions on the symplectic quotient associated to an $operatorname{SU}_2$-module and give an explicit expression for the first nonzero coefficient of the Laurent expansion of the Hilbert series at $t = 1$. Our expression for the Hilbert series indicates an algorithm to compute it, and we give the output of this algorithm for representations of dimension at most $10$. Along the way, we compute the Hilbert series of the module of covariants of an arbitrary $operatorname{Sl}_2$- or $operatorname{SU}_2$-module as well its first three Laurent coefficients." @default.
- W2891490716 created "2018-09-27" @default.
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- W2891490716 date "2018-09-20" @default.
- W2891490716 modified "2023-09-25" @default.
- W2891490716 title "Hilbert series associated to symplectic quotients by $operatorname{SU}_2$" @default.
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