PORTFOLIO / izv. prof. dr. sc. Marijana Butorac

Portfolio

izv. prof. dr. sc.

Marijana Butorac

Faculty of Mathematics

Contact

Visibility

Research

Journal Articles

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

https://aip.scitation.org/doi/10.1063/5.0059144

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

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

Project subsidies 2014/2016