8th Croatian Mathematical Congress

Name: 8th Croatian Mathematical Congress
Start: 2024-07-02T07:00:00+02:00
End: 2024-07-05T16:00:00+02:00
Location: Osijek

2–5 Jul 2024

Osijek

Europe/Zagreb timezone

Conference office

hrcongress2024@mathos.hr

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

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

Goran Trupčević (University of Zagreb Faculty of Teacher Education)

M.Primc and T.Šikić have described a combinatorial spanning set for a standard module for the affine Lie algebra of the type $C_{ℓ}^{(1)}$ 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 $C_{2 ℓ}^{(1)}$ .

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

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8th Croatian Mathematical Congress

Conference office

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

D8

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

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