Research
RESEARCH INTERESTS
Research interests: infinite dimensional Lie algebras, vertex algebras, quantum groups
PUBLICATIONS AND PREPRINTS
M. Butorac, N. Jing, S. Kožić, F. Yang, Semi-infinite construction for the double Yangian of type $A_1^{(1)}$, arXiv:2301.04732 [math.QA].
M. Butorac, S. Kožić, Combinatorial bases of standard modules of twisted affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$: rectangular highest weights, arXiv:2211.05171 [math.RT].
M. Butorac, S. Kožić, On the Heisenberg algebra associated with the rational R-matrix, J. Math. Phys. 63 (2022) 011701 (23pp); arXiv:2106.03154 [math.QA].
M. Butorac, S. Kožić, Principal subspaces for the quantum affine vertex algebra in type $A_1^{(1)}$, J. Pure Appl. Algebra 226 (2022) 106973 (14pp); arXiv:2011.13072 [math.QA].
M. Butorac, S. Kožić, M. Primc, Parafermionic bases of standard modules for affine Lie algebras, Math. Z. 298 (2021), 1003-1032; ; arXiv:2002.00435 [math.QA].
M. Butorac, A note on principal subspaces of the affine Lie algebras in types $B_l^{(1)}$, $C_l^{(1)}$, $F_4^{(1)}$ and $G_2^{(1)}$, Communications in Algebra ; arXiv:2001.10060 [math.QA].
M. Butorac, S. Kožić, Principal subspaces for the affine Lie algebras in types D, E and F, arXiv:1902.10794 [math.QA].
M. Butorac, Quasi-particle bases of principal subspaces of affine Lie algebras, Affine, Vertex and W-algebras.
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, C. Sadowski, Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type A_{2l-1}^(2), D_l^(2), E_6^(2) and D_4^(3), New York J. Math. 25 (2019), 71–106.
M. Butorac, Quasi-particle bases of principal subspacesfor the affine Lie algebra of type $G_2^{(1)}$, Glas. Mat. Ser. III 52 (2017), 79–98, arXiv:1605.06766 [math.QA]
M. Butorac, Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_l^{(1)}$ and $C_l^{(1)}$, Glas. Mat. Ser. III 51 (2016), 59–108, arXiv:1505.00450 [math.QA]
M. Butorac, Combinatorial bases of principal subspaces for the affine Lie algebra of type $B_2^{(1)}$, J. Pure Appl. Algebra, 218 (2014) , 3; 424-447, arXiv:1212.5920 [math.QA]
CONFERENCES AND WORKSHOPS
XIV. International Workshop "Lie Theory and Its Applications in Physics", Sofia, June 20-26, 2021
Representationtheory and integrable systems, Zurich, Switzerland, August 12-16, 2019
Representation Theory XVI, Dubrovnik, Croatia, 2019 (June 24 - 29)