The Hilbert series of SL2-invariants
Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, Daniel Herden, Christopher Seaton
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Source: Crossref
Published: Mar 26, 2019
DOI: 10.1142/s0219199719500172
Open original source ↗Source abstract
Let [Formula: see text] be a finite-dimensional representation of the group [Formula: see text] of [Formula: see text] matrices with complex coefficients and determinant one. Let [Formula: see text] be the algebra of [Formula: see text]-invariant polynomials on [Formula: see text]. We present a calculation of the Hilbert series [Formula: see text] as well as formulas for the first four coefficients of the Laurent expansion of [Formula: see text] at [Formula: see text].
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