Yang Li

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math.RT2022

A Whittaker category for the Symplectic Lie algebra

Yang Li, Jun Zhao, Yuanyuan Zhang +1

For any $n \in Z_{\geq 2}$ , let $m_{n}$ be the subalgebra of $sp_{2 n}$ spanned by all long negative root vectors $X_{- 2 ε_{i}}$ , $i = 1, \dots, n$ . An $\mathfr…

math.RT2021

An algebra isomorphism on $U (gl_{n})$

Yang Li, Genqiang Liu

For each positive integer $n$ , let $s_{n} = gl_{n} ⋉ C^{n}$ . We show that $U(\mathfrak{s}_{n})_{X_{n}}\cong \mathcal{D}_{n}\otimes U(\mathfrak{s}_{n-1})…

A Whittaker category for the Symplectic Lie algebra

An algebra isomorphism on U(gln​)

An algebra isomorphism on $U (gl_{n})$