$n$线性型的联合不变和协变代数的Poincaré级数
The Poincaré series for the algebras of joint invariants and covariants of $n$ linear forms
摘要：
给出了$n$线性型的联合$SL_2$ -不变量和协变量代数的Poincaré级数的计算公式，并计算了这些代数的次数和次数的渐近性态.
英文摘要：
Explicit formulas for computation of the Poincaré series for the algebras of joint $SL_2$-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
