Research

Research interests: Representation theory of Lie superalgebras and conformal superalgebras

Publications and preprints:

1. Bagnoli L., Caselli F. 'Classification of finite irreducible conformal modules for K'_4', J. Math. Phys. 63, 091701 (2022) arXiv:2103.16374

2. Bagnoli L. 'An upper bound on the degree of singular vectors for E(1,6)',  Journal of Algebra and its Applications Vol. 23, No. 09, 2450129 (2024)  arXiv:2106.01990

3. Bagnoli L. 'Computation of the homology of the complexes of finite Verma modules for K'_4',  Algebras and Represention Theory 26, 2627–2682 (2023) arXiv:2108.00458

4. Bagnoli L. 'Homology of the complexes of finite Verma modules over CK_6', Journal of Algebra 641 (2024),  307-352,  arXiv:2212.06698

5. Bagnoli L., Kožić S. 'Yangian deformations of S-commutative quantum vertex algebras and Bethe subalgebras', Transformation Groups (2024),  arXiv:2307.03112

6. Bagnoli L., Kožić S. 'Double Yangian and reflection algebras of the Lie superalgebra $\mathfrak{gl}_{m|n}$', Communications in Contemporary Mathematics Vol. 27, No. 02, 2450007 (2025)  arXiv:2311.02410

7. Bagnoli L., Kožić S. 'A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $\mathfrak{gl}_{m|n}$', Algebras and Represention Theory (2024)  arXiv:2402.00487

8. Bagnoli L., Kožić S. 'Deformed quantum vertex algebra modules associated with braidings', arXiv:2405.04137

9. Bagnoli L., Kožić S. 'Associating deformed $\phi$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted h-Yangians',   Mathematical Research Letters , Vol. 32, Issue 5 (2025), pp. 1301-1330  arXiv:2407.00515 , 

10. Bagnoli L., Butorac M., Kožić S. 'On two families of quantum vertex algebras of FRT-type', Communications in Mathematical Physics , Volume 406, article number 219, (2025)  arXiv:2501.17625, 

11. Bagnoli L., Jing N., Kožić S., Associating modules for the $h$-Yangian and quantum elliptic algebra in type $A$ with $h$-adic quantum vertex algebras  arXiv:2601.00371