Teodor Banica spends much of his time researching Quantum group, Pure mathematics, Algebra, Combinatorics and Compact quantum group. His study explores the link between Quantum group and topics such as Automorphism that cross with problems in Compact group and Quantum algebra. His Pure mathematics study integrates concerns from other disciplines, such as Image and Type.
Teodor Banica combines subjects such as Isometry group, Quantum probability and Algebraic properties with his study of Algebra. His work on Bijection as part of general Combinatorics research is often related to Indefinite orthogonal group, thus linking different fields of science. His Compact quantum group study combines topics from a wide range of disciplines, such as Quantum phase estimation algorithm, Quantum Fourier transform, Quantum algorithm and Free product.
Teodor Banica focuses on Combinatorics, Pure mathematics, Discrete mathematics, Matrix and Quantum group. His work carried out in the field of Combinatorics brings together such families of science as Hadamard transform, Hadamard matrix, Type, Algebraic number and Permutation group. In the subject of general Pure mathematics, his work in Noncommutative geometry, Compact quantum group, Affine transformation and Subfactor is often linked to Computation, thereby combining diverse domains of study.
His research investigates the link between Discrete mathematics and topics such as Quantum t-design that cross with problems in Quantum algorithm. His Matrix research includes themes of Representation theory, Fourier transform, Algebraic manifold and Conjecture. His work in Quantum group covers topics such as Orthogonal group which are related to areas like Discrete group.
His scientific interests lie mostly in Combinatorics, Pure mathematics, Noncommutative geometry, Matrix and Algebraic number. His Combinatorics research is multidisciplinary, incorporating elements of Discrete mathematics, Hadamard matrix, Type and Compact quantum group. The study incorporates disciplines such as Subfactor and Fixed point in addition to Compact quantum group.
As part of his studies on Pure mathematics, Teodor Banica often connects relevant areas like Unitary group. His study in Matrix is interdisciplinary in nature, drawing from both Transitive relation, Representation theory, Quantum algebra, Quantum group and Permutation group. His research integrates issues of Antisymmetric relation, Interpretation and Symmetry group in his study of Quantum group.
Noncommutative geometry, Combinatorics, Pure mathematics, Matrix and Permutation group are his primary areas of study. The concepts of his Combinatorics study are interwoven with issues in Matrix model, Hadamard transform, Hadamard matrix and Algebraic number. His research in Pure mathematics is mostly focused on Quantum group.
His Quantum group research incorporates themes from Operator algebra, Lie group, Unitary group and Perspective. His Matrix research is multidisciplinary, relying on both Generalization, Representation, Pauli matrices and Rank. His Permutation group study incorporates themes from Discrete mathematics, Group algebra and Compact group.
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Liberation of orthogonal Lie groups
Teodor Banica;Roland Speicher.
Advances in Mathematics (2009)
Le Groupe Quantique Compact Libre U(n)
Communications in Mathematical Physics (1997)
Théorie des représentations du groupe quantique compact libre O (n)
Comptes rendus de l'Académie des sciences. Série 1, Mathématique (1996)
Symmetries of a generic coaction
Mathematische Annalen (1999)
Quantum automorphism groups of homogeneous graphs
Journal of Functional Analysis (2005)
THE HYPEROCTAHEDRAL QUANTUM GROUP
Teodor Banica;Julien Bichon;Benoit Collins.
arXiv: Representation Theory (2007)
Quantum automorphism groups of small metric spaces
Pacific Journal of Mathematics (2005)
Representations of compact quantum groups and subfactors
Crelle's Journal (1999)
Free Bessel Laws
T. Banica;S. T. Belinschi;M. Capitaine;B. Collins.
Canadian Journal of Mathematics (2011)
Integration over Compact Quantum Groups
Teodor Banica;Benoît Collins.
Publications of The Research Institute for Mathematical Sciences (2007)
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