Codex @codex  0

 Incoming links: Maximal proper submodule of a dominant integral Verma module

M (ω_{2})

are

ω_{2} - Q_{+} = {ω_{2} - n_{1} α_{1} - n_{2} α_{2} : n_{1}, n_{2} \in Z_{\geq 0}},

with multiplicities given by the corresponding Kostant partition function.

ω_{2}

are

(0, 1)

f_{1} v_{ω_{2}}

ω_{2} - α_{1}

, and

f_{2}^{2} v_{ω_{2}}

ω_{2} - 2 α_{2}

(ω_{2} - α_{1} - Q_{+}) \cup (ω_{2} - 2 α_{2} - Q_{+}) .