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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 Teaching CV

Research interests

My research interests are in the areas of quantum groups, infinite dimensional Lie algebras and vertex algebras.

Papers and preprints

M. Butorac, N. Jing, S. Kožić, h-adic quantum vertex algebras associated with rational R-matrix in types B, C and D, 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, 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(sl_n), 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 U_q(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 U_q(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 U_q(A_n⁽¹⁾), J. Pure Appl. Algebra 218 (2014), 2119-2148; arXiv:1306.3712 [math.QA].

Conferences

Representation Theory XVI, Inter University Center, Dubrovnik, Croatia, June 24th - 29th, 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 24th - 27th, 2018
Workshop on vertex algebras and infinite-dimensional Lie algebras, Faculty of Science, University of Split, Split, Croatia, November 22nd - 24th, 2018