Slaven Kožić
Assistant Professor
Department of Mathematics
Faculty of Science
University of Zagreb
Bijenička cesta 30
10000 Zagreb, Croatia
E-mail: kslaven
math.hr
Research interests
My research interests are in the areas of quantum groups, infinite dimensional Lie algebras and vertex algebras.
Research grants
Papers and preprints
- M. Butorac, S. Kožić, Principal subspaces for the quantum affine vertex algebra in type A1(1), arXiv:2011.13072 [math.QA].
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M. Butorac, S. Kožić, M. Primc, Parafermionic bases of standard modules for affine Lie algebras, Math. Z. (2020), https://doi.org/10.1007/s00209-020-02639-w; arXiv:2002.00435 [math.QA].
- S. Kožić, On the quantum affine vertex algebra associated with trigonometric R-matrix, arXiv:1908.06517 [math.QA].
- M. Butorac, N. Jing, S. Kožić, h-Adic quantum vertex algebras associated with rational R-matrix in types B, C and D, Lett. Math. Phys. 109 (2019), 2439-2471; arXiv:1904.03771 [math.QA].
- M. Butorac, S. Kožić, Principal subspaces for the affine Lie algebras in types D, E and F, arXiv:1902.10794 [math.QA].
- S. Kožić, Quantum current algebras associated with rational R-matrix, Adv. Math. 351 (2019), 1072-1104; arXiv:1801.03543 [math.QA].
- S. Kožić, Quasi modules for the quantum affine vertex algebra in type A, Comm. Math. Phys. 365 (2019), 1049-1078; arXiv:1707.09542 [math.QA].
- S. Kožić, Commutative operators for double Yangian DY(sln), Glas. Mat. Ser. III Vol. 53, No. 1 (2018), 97-113.
- S. Kožić, Principal subspaces for double Yangian DY(sl2), J. Lie Theory 28 (2018), No. 3, 673-694.
- S. Kožić, A. Molev, Center of the quantum affine vertex algebra associated with trigonometric R-matrix, J. Phys. A: Math. Theor. 50 (2017) 325201 (21pp); arXiv:1611.06700 [math.QA].
- S. Kožić, Higher level vertex operators for Uq(ŝl2), Selecta Math. (N.S.) 23 (2017), 2397-2436; arXiv:1603.09068 [math.QA].
- N. Jing, S. Kožić, A. Molev, F. Yang, Center of the quantum affine vertex algebra in type A, J. Algebra 496 (2018), 138-186; arXiv:1603.00237 [math.QA].
- S. Kožić, Vertex operators and principal subspaces of level one for Uq(ŝl2),
J. Algebra 455 (2016), 251-290;
arXiv:1508.07658 [math.QA].
- S. Kožić, A note on the zeroth products of Frenkel-Jing operators, J. Algebra Appl. Vol. 16, No. 3 (2017) 1750053 (25 pages); arXiv:1506.00050 [math.QA].
- S. Kožić, M. Primc, Quasi-particles in the principal picture of ŝl2 and Rogers-Ramanujan-type identities, Commun. Contemp. Math. Vol. 20, No. 05 (2018) 1750073 (37 pages); arXiv:1406.1924 [math.QA].
- S. Kožić, Principal subspaces for quantum affine algebra Uq(An(1)), J. Pure Appl. Algebra 218 (2014), 2119-2148; arXiv:1306.3712 [math.QA].
Conferences and workshops
- Representation Theory XVI, Inter University Center, Dubrovnik, Croatia, June 24 - 29, 2019
- Vertex algebras and related topics, a workshop in honor of Mirko Primc on his 70th birthday, Department of Mathematics, Faculty of Science, University of Zagreb, Zagreb, Croatia, May 24 - 27, 2018
- Workshop on vertex algebras
and
infinite-dimensional Lie algebras, Faculty of Science, University of Split, Split, Croatia, November 22 - 24, 2018