The Hilbert series of SL2-invariants-Reference-Cited by-同舟云学术

The Hilbert series of SL2-invariants

Published:2019-03-26 Issue:07 Volume:22 Page:1950017
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

de Carvalho Cayres Pinto Pedro¹,Herbig Hans-Christian²,Herden Daniel³,Seaton Christopher⁴

Affiliation:

1. PEE/COPPE, Universidade Federal do Rio de Janeiro, Av. Athos da Silveira Ramos 149, Centro de Tecnologia, Bloco H, Caixa Postal 68504, CEP: 21941-972, Rio de Janeiro, Brazil

2. Departamento de Matemática Aplicada, Universidade Federal do Rio de Janeiro, Av. Athos da Silveira Ramos 149, Centro de Tecnologia, Bloco C, CEP: 21941-909, Rio de Janeiro, Brazil

3. Department of Mathematics, Baylor University, One Bear Place #97328, Waco, TX 76798-7328, USA

4. Department of Mathematics and Computer Science, Rhodes College, 2000 N. Parkway, Memphis, TN 38112, USA

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].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500172

Reference31 articles.

1. Laurent coefficients and Ext of finite graded modules

2. Bivariate Poincaré Series for the Algebra of Covariants of a Binary Form

3. Poincaré series of the multigraded algebras of SL 2-invariants

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