2–5 Jul 2024
Osijek
Europe/Zagreb timezone

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

2 Jul 2024, 16:05
20m
D8 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D8

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk ALG: Algebra Algebra

Speaker

Goran Trupčević (University of Zagreb Faculty of Teacher Education)

Description

M.Primc and T.Šikić have described a combinatorial spanning set for a standard module for the affine Lie algebra of the type $C_\ell^{(1)}$ and have conjectured that this set is linearly independent. We will prove linear independence for certain classes of these modules by establishing a connection with combinatorial bases of Feigin-Stoyanovsky's type subspace of standard modules for the affine Lie algebra of the type $C_{2\ell}^{(1)}$.

Primary authors

Prof. Mirko Primc (University of Zagreb Faculty of Science) Goran Trupčević (University of Zagreb Faculty of Teacher Education)

Presentation materials

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