https://orcid.org/0009-0001-4419-2337
References
- Banica, T. (1998). Symmetries of a generic coaction. Math. Ann. 314: 763–780. 10.1007/s002080050315
- Banica, T., Bichon, J. (2009). Quantum groups acting on 4 points. J. die Reine Angew. Math. 626: 75–114. 10.1515/CRELLE.2009.003
- Banica, T., Bichon, J. (2015). Random walk questions for linear quantum groups. Int. Math. Res. Not. 2015(24): 13406–13436. 10.1093/imrn/rnv102
- Banica, T., Bichon, J., Schlenker, J. (2009). Representations of quantum permutation algebras. J. Funct. Anal. 257(9): 2864–2910. 10.1016/j.jfa.2009.04.013
- Banica, T., Collins, B. (2008). Integration over the pauli quantum group. J. Geom. Phys. 58(8): 942–961. 10.1016/j.geomphys.2008.03.002
- Brannan, M., Chirvasitu, A., Freslon, A. (2020). Topological generation and matrix models for quantum reflection groups. Adv. Math. 363: 106982. 10.1016/j.aim.2020.106982
- Blackadar, B. (2005). Operator Algebras. Theory of C*-algebras and von Neumann Algebras. Berlin: Springer.
- Banica, T., Moroianu, S. (2007). On the structure of quantum permutation groups. Proc. Amer. Math. Soc. 135(1): 21–29. 10.1090/S0002-9939-06-08464-4
- Banica, T., Nechita, I. (2017). Flat matrix models for quantum permutation groups. Adv. Appl. Math. 83: 24–46. 10.1016/j.aam.2016.09.001
- Cohen, A., Knopper, J. (2016). GBNP, computing Gröbner bases of noncommutative polynomials, Version 1.0.3. Available at: https://www.gap-system.org/Packages/gbnp.html.
- The GAP Group. (2020). GAP – Groups, Algorithms, and Programming, Version 4.11.0. Available at: https://www.gap-system.org.
- Hopcroft, J. E., Motwani, R., Ullman, J. D. (2006). Introduction to Automata Theory, Languages, and Computation, 3rd ed. Addison-Wesley Longman Publishing Co., Inc. Boston, MA, United States. https://dl.acm.org/doi/book/ 10.5555/1196416
- Jung, S., Weber, M. (2020). Models of quantum permutations. J. Funct. Anal. 279(2): 108516. 10.1016/j.jfa.2020.108516
- Levandovskyy, V., Eder, C., Steenpass, A., Schmidt, S., Schanz, J., Weber, M. (2022). Existence of quantum symmetries for graphs on up to seven vertices: A computer based approach. In: ISSAC ’22: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, pp. 311–318.
- Li, X., Voigt, C., Weber, M. (2020). ISem24: C*-algebras and dynamics, lecture notes. Available at: https://www.math.uni-sb.de/ag/speicher/weber/ISem24/ISem24LectureNotes.pdf.
- Mora, T. (1994). An introduction to commutative and noncommutative Gröbner bases. Theor. Comput. Sci. 134(1): 131–173. 10.1016/0304-3975(94)90283-6
- Neshveyev, S., Tuset, L. (2013). Compact Quantum Groups and Their Representation Categories. Cours Spécialisés. Société Mathématique de France.
- The Sage Developers. (2020). SageMath, the Sage Mathematics Software System (Version 9.1). Available at https://www.sagemath.org.
- Timmermann, T. (2008). An Invitation to Quantum Groups and Duality: From Hopf Algebras to Multiplicative Unitaries and Beyond. EMS textbooks in mathematics. Zürich: European Mathematical Society.
- Ufnarovskiĭ, V. (1991). On the use of graphs for computing a basis, growth and Hilbert series of associative algebras. Math. USSR-Sbornik 68(2):417–428. 10.1070/SM1991v068n02ABEH001373
- Wang, S. (1998). Quantum symmetry groups of finite spaces. Commun. Math. Phys. 195: 195–211. 10.1007/s002200050385
- Weber, M. (2023). Quantum permutation matrices. Complex Anal. Operator Theory 17: 37.
- Woronowicz, S. (1987). Compact matrix pseudogroups. Commun. Math. Phys. 111: 613–665. 10.1007/BF01219077