Linear independence for $C_{\ell }^{(1)}$ by using $C_{2\ell }^{(1)}$

Mirko Primc, Goran Trupčević

In this note we prove linear independence of the combinatorial spanning set for standard $C_{\ell }^{(1)}$-module $L(k{\Lambda }_0)$ by establishing a connection with the combinatorial basis o…