论文标题
希尔伯特（Hilbert
Hilbert series of typical representations for Lie superalgebras
论文作者
论文摘要
令G为C的基本经典谎言。我们提供了这个希尔伯特系列的公式，以基本对称的多项式和欧拉多项式。此外，我们在差分运算符方面显示了一个简单的封闭形式。
Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbert series whose coefficients encode the dimensions of finite-dimensional irreducible typical g-representations. We give a formula for this Hilbert series in terms of elementary symmetric polynomials and Eulerian polynomials. Additionally, we show a simple closed form in terms of differential operators.
