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- Nolan R. Wallach

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
42
Citations
11,469
158
World Ranking
1193
National Ranking
547

2013 - Fellow of the American Mathematical Society

2004 - Fellow of the American Academy of Arts and Sciences

1971 - Fellow of Alfred P. Sloan Foundation

- Algebra
- Pure mathematics
- Quantum mechanics

His main research concerns Pure mathematics, Algebra, Lie group, Representation theory and Simple Lie group. His Pure mathematics research is multidisciplinary, relying on both Matrix entry and Mathematical analysis. His work carried out in the field of Algebra brings together such families of science as Representation theory of SU and Real form.

His work in Lie group covers topics such as Vector bundle which are related to areas like Harmonic analysis, Discrete series and Quaternionic representation. His Representation theory study incorporates themes from Classical group, Term and Plancherel theorem. His research integrates issues of Group of Lie type, Group, Loop and Group cohomology in his study of Simple Lie group.

- Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (1060 citations)
- Representations and invariants of the classical groups (660 citations)
- Real Reductive Groups II (441 citations)

His primary areas of study are Pure mathematics, Algebra, Combinatorics, Lie group and Mathematical analysis. His study in Invariant theory, Classical group, Invariant, Representation theory and Simple Lie group falls under the purview of Pure mathematics. The study incorporates disciplines such as Affine Lie algebra, Quantum computer and Representation theory of SU in addition to Algebra.

His biological study spans a wide range of topics, including Discrete mathematics and Limit. His Lie group study integrates concerns from other disciplines, such as Holomorphic function, Symmetric space, Meromorphic function and Eigenfunction. His Mathematical analysis research is multidisciplinary, relying on both Dimension and Curvature of Riemannian manifolds, Curvature, Scalar curvature, Sectional curvature.

- Pure mathematics (50.00%)
- Algebra (27.33%)
- Combinatorics (22.67%)

- Pure mathematics (50.00%)
- Combinatorics (22.67%)
- Quantum entanglement (9.88%)

The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Quantum entanglement, Qubit and Discrete mathematics. His work in the fields of Pure mathematics, such as Invariant, Holomorphic function and Reductive group, intersects with other areas such as Geometric invariant theory. In general Combinatorics, his work in Conjecture, Polynomial and Symmetric function is often linked to Stochastic game linking many areas of study.

In Quantum entanglement, he works on issues like Orthonormal basis, which are connected to Orthogonal basis, Quantum nonlocality and Tensor. His Qubit research is multidisciplinary, incorporating elements of Multiplicity and Entropy of entanglement. His Discrete mathematics study combines topics from a wide range of disciplines, such as Lie conformal algebra, Quantum, Graded Lie algebra, Real form and Polynomial.

- All maximally entangled four-qubit states (103 citations)
- All Maximally Entangled Four Qubits States (82 citations)
- Classification of multipartite entanglement of all finite dimensionality. (60 citations)

- Algebra
- Quantum mechanics
- Pure mathematics

Nolan R. Wallach mostly deals with Quantum entanglement, Qubit, Combinatorics, Pure mathematics and Invariant. His Qubit research integrates issues from Discrete mathematics and Multipartite entanglement. The concepts of his Combinatorics study are interwoven with issues in Lambda, Polynomial, Linear subspace and Entropy of entanglement.

Nolan R. Wallach integrates several fields in his works, including Pure mathematics and Scaling dimension. When carried out as part of a general Invariant research project, his work on Invariant theory and Invariant measure is frequently linked to work in Geometric invariant theory, Finite type invariant and Arf invariant, therefore connecting diverse disciplines of study. In his research on the topic of Entropy, Kronecker's theorem, Computation, Link, Constant term and Algebra is strongly related with Quantum computer.

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.

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

Armand Borel;Nolan R. Wallach.

**(1999)**

1550 Citations

Representations and invariants of the classical groups

Roe Goodman;Nolan R. Wallach.

**(1998)**

957 Citations

Real Reductive Groups II

Nolan R Wallach.

**(1988)**

706 Citations

Symmetry, Representations, and Invariants

Roe Goodman;Nolan R. Wallach.

**(2009)**

699 Citations

Harmonic analysis on homogeneous spaces

Nolan R. Wallach.

**(1973)**

655 Citations

Global entanglement in multiparticle systems

David A. Meyer;Nolan R. Wallach.

Journal of Mathematical Physics **(2002)**

537 Citations

Real reductive groups

Nolan R. Wallach.

**(1988)**

401 Citations

Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature

Nolan R. Wallach.

Annals of Mathematics **(1972)**

344 Citations

A Classification of Unitary Highest Weight Modules

Thomas Enright;Roger Howe;Nolan Wallach.

**(1983)**

336 Citations

An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

Simon Aloff;Nolan R. Wallach.

Bulletin of the American Mathematical Society **(1975)**

321 Citations

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