The Poincaré series for the algebras of joint invariants and covariants of $n$ linear forms

Abstract

Explicit formulas for computation of the Poincaré series for the algebras of joint $S{L}_2$-invariants and covariants of $n$ linear forms in terms of Narayana polynomials are found. Also, for these algebras we calculate the degrees and asymptotic behavious of the degrees.

9 pages

Cited by in corpus (1)

• Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank $1$ Lie groups