Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kazhdan-Lusztig right cells and associated varieties of highest weight
  modules   Let $\mathfrak{g}$ be a simple Lie algebra with a Weyl group $W$. Let $L_w$
be a simple module with highest weight $-w\rho-\rho$. By using a conjecture of
Tanisaki, we show that there is a bijection between the right cells and
associated varieties of highest weight modules with infinitesimal character
$\rho$. When $L(\lambda)$ is a simple integral highest weight module of
$\mathfrak{sl}(n,\mathbb{C})$ with the minimal Gelfand-Kirillov dimension
$n-1$, we will show that its associated variety is irreducible. In particular,
its associated variety will be given in the information of $\lambda$. When
$L(\lambda)$ is a simple highest weight module of $\mathfrak{sl}(n,\mathbb{C})$
in a given parabolic category $\mathscr{O}^{\mathfrak{p}}$ with maximal
Gelfand-Kirillov dimension, we will show that its associated variety is also
irreducible.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn