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- Teodor Banica

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
3,528
178
World Ranking
2733
National Ranking
169

- Algebra
- Pure mathematics
- Complex number

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.

- Liberation of orthogonal Lie groups (195 citations)
- Le Groupe Quantique Compact Libre U(n) (187 citations)
- Symmetries of a generic coaction (142 citations)

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.

- Combinatorics (51.60%)
- Pure mathematics (36.70%)
- Discrete mathematics (22.34%)

- Combinatorics (51.60%)
- Pure mathematics (36.70%)
- Noncommutative geometry (13.30%)

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.

- Liberations and twists of real and complex spheres (25 citations)
- Flat matrix models for quantum permutation groups (23 citations)
- Matrix models for noncommutative algebraic manifolds (16 citations)

- Algebra
- Pure mathematics
- Combinatorics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Liberation of orthogonal Lie groups

Teodor Banica;Roland Speicher.

Advances in Mathematics **(2009)**

213 Citations

Le Groupe Quantique Compact Libre U(n)

Teodor Banica.

Communications in Mathematical Physics **(1997)**

197 Citations

Théorie des représentations du groupe quantique compact libre O (n)

T. Banica.

Comptes rendus de l'Académie des sciences. Série 1, Mathématique **(1996)**

165 Citations

Symmetries of a generic coaction

Teodor Banica.

Mathematische Annalen **(1999)**

157 Citations

Quantum automorphism groups of homogeneous graphs

Teodor Banica.

Journal of Functional Analysis **(2005)**

149 Citations

THE HYPEROCTAHEDRAL QUANTUM GROUP

Teodor Banica;Julien Bichon;Benoit Collins.

arXiv: Representation Theory **(2007)**

141 Citations

Quantum automorphism groups of small metric spaces

Teodor Banica.

Pacific Journal of Mathematics **(2005)**

119 Citations

Representations of compact quantum groups and subfactors

Teodor Banica.

Crelle's Journal **(1999)**

117 Citations

Free Bessel Laws

T. Banica;S. T. Belinschi;M. Capitaine;B. Collins.

Canadian Journal of Mathematics **(2011)**

109 Citations

Integration over Compact Quantum Groups

Teodor Banica;Benoît Collins.

Publications of The Research Institute for Mathematical Sciences **(2007)**

98 Citations

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