Portfolio
izv. prof. dr. sc.
Marijana Butorac
Faculty of Mathematics
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Research
Journal Articles
2024.
Lepowsky's and Wakimoto's product formulas for the affine Lie algebras C_l^(1)
M. Butorac, S. Kožić, A. Meurman, M. Primc
Journal of algebra - 660 147-189
2023.
Combinatorial bases of standard modules of twisted affine Lie algebras in types A2l-1(2) and Dl+1(2): rectangular highest weights
M. Butorac, S. Kožić
Comm. Algebra - 4012-4032
2022.
Principal subspaces for the affine Lie algebras in types D, E and F
M. Butorac, S. Kožić
J. Algebraic Combin. - 1063-1096
2022.
On the Heisenberg algebra associated with the rational R-matrix
M. Butorac, S. Kožić
Journal of Mathematical Physics
2022.
Principal subspaces for the quantum affine vertex algebra in type $A_1^{(1)}$
M. Butorac, S. Kožić
Journal of Pure and Applied Algebra - 226
https://www.sciencedirect.com/science/article/abs/pii/S0022404921003145
2021.
Parafermionic bases of standard modules for affine Lie algebras
M. Butorac, S. Kožić, M. Primc
Mathematische Zeitschrift
https://link.springer.com/article/10.1007/s00209-020-02639-w
2020.
A note on principal subspaces of the affine Lie algebras in types $B_l^{(1)}$, $C_l^{(1)}$, $F_4^{(1)}$ and $G_2^{(1)}$
Marijana Butorac
Communications in Algebra
2019.
h-Adic quantum vertex algebras associated with rational R-matrix in types B, C and D
Marijana Butorac, Naihuan Jing, Slaven Kožić
Letters in Mathematical Physics - 109 2439–2471
2019.
Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2 l -1} ^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$
M. Butorac, Christopher Sadowski
New York Journal of Mathematics - 25 71-106
2017.
Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_2^{(1)}$
Marijana Butorac
Glasnik matematički - 52
Q3 WOS
2016.
Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_l^{(1)}$ and $C_l^{(1)}$
Marijana Butorac
Glasnik matematički - 51 59-108
https://web.math.pmf.unizg.hr/glasnik/vol_51/no1_05.html
Q3 WOS
2012.
Kombinatorne baze glavnih potprostora standardnih modula afine Liejeve algebre tipa B_2^(1)( Combinatorial bases of principal subspaces of standard modules for affine Lie algebra of type B_2^(1) )
Combinatorial bases of principal subspaces for the affine Lie algebra of type B_2^(1)
Butorac, Marijana
Journal of Pure and Applied Algebra (0022-4049) 218 (2014), 3; 424-447
Q1 WOS
Invited Lectures
02.07.2024.
Combinatorial bases of standard modules for twisted affine Lie algebras
M. Butorac, S. Kožić, M. Primc
Osijek
21.09.2023.
Combinatorial construction of standard modules for affine Lie algebras
M. Butorac, Slaven Kožić, Mirko Primc
Rocky Mountain Representation theory seminar (online)
27.05.2018.
Combinatorial bases of principal subspaces of standard modules for twisted affine Lie algebras of type $A_{2 l -1} ^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$
M. Butorac, Christopher Sadowski
Zagreb
19.06.2017.
Combinatorial bases of principal subspaces for affine Lie algebras
Marijana Butorac
Dubrovnik
25.05.2017.
Construction of quasi-particle bases of principal subspaces of affine Lie algebras
Marijana Butorac
Department of Mathematics and Statistics, SUNY-Albany
Conference Presentations
2023.
Combinatorial properties of bases of standard modules for twisted affine Lie algebras
M. Butorac, S. Kožić, M. Primc
predavanje
REPRESENTATION THEORY XVIII
2022.
Parafrmionic subspaces of standard modules of untwisted affine Lie algebras
M. Butorac, Slaven Kožić, Mirko Primc
predavanje
Algebra 2022, Recent trends in Algebra, Geometry and Arithmetic Vlora
2022.
Principal subspaces of standard modules of affine Lie algebras of type Bl(1), Cl(1), F4(1) and G2(1)
M. Butorac
kratko priopćenje
7th Croatian Mathematical Congress
2022.
Combinatorial bases of modules of affine Lie algebras
M. Butorac, S. Kožić, M. Primc
predavanje
Representation Theory XVII Dubrovnik
2021.
Principal subspaces of standard modules of affine Lie algebra of type $G_2^{(1)}$
Marijana Butorac
predavanje
65th Annual Meeting of the Australian Mathematical Society Newcastle
2021.
Principal subspaces of standard modules of untwisted affine Lie algebras
M. Butorac, Slaven Kožić
predavanje
XIV. International Workshop ``Lie Theory and Its Applications in Physics Sofia
2019.
Quasi-particle bases of principal subspaces of representations of affine Lie algebras
M. Buorac, Slaven Kožić
predavanje
Representation theory and integrable systems Zurich
2019.
Principal subspaces for the affine Lie algebras of type F, E and D
M. Butorac, Slaven Kožić
predavanje
Representation Theory XVI Dubrovnik
11.07.2018.
Principal subspaces of higher level standard modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}$, $D_l^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)N$
Marijana Butorac, Christopher Sadowski
predavanje
The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32) Prag
23.08.2016.
Combinatorial bases of principal subspaces for affine Lie algebras of type $G_2^{(1)}$
Butorac Marijana
predavanje
Lie Theory and Representation Theory Workshop 2016 Cologne, Germany
2016.
Quasi-particle bases of principal subspaces for affine Lie algebra of the type $G^{(1)}_2$
Marijana Butorac
kratko saopćenje
6th Croatian Mathematical Congress Zagreb, Croatia
2015.
Combinatorial bases of principal subspaces for affine Lie algebras of type $B_l^{(1)}$ and $C_l^{(1)}$
Marijana Butorac
Predavanje
Representation Theory XIV Dubrovnik
7.07.2014.-10.07.2014.
Principal subspaces for affine Lie algebra of type B_2^{(1)}
Marijana Butorac
Predavanje
International Conference "Mathematics Days in Sofia" Sofia
2014.
sudjelovanje
INdAM Intensive Period - FIRB Project “Perspectives in Lie Theory” Centro di Ricerca Matematica Ennio De Giorigi, Pisa, Italija
22.06.2013.
Quasi-particle bases of principal subspaces for affine Lie algebra of type $B_2^{(1)}$
Marijana Butorac
Predavanje
Representation Theory XIII Dubrovnik
18.06.2012.
Combinatorial bases of principal subspaces for affine Lie algebra of type $B_2^{(1)}$
Marijana Butorac
govor
5th Croatian Mathematical Congress Rijeka
Projects
Research Projects
2020. - 2024.
Algebre kvantnih struja i njihova teorija reprezentacija
istraživač
HRZZ
Algebraic and combinatorial methods in vertex algebra theory
istraživač
Hrvatska zaklada za znanost
Analitičke i algebarske metode u teoriji brojeva
istraživač
Sveučilište u Rijeci
Research Projects - Project Member/Project Researcher
Neven Grbac
Algebarske i analitičke metode u teoriji brojeva
Natural Sciences