What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Vector space
His main research concerns Pure mathematics, Algebra, Quantum group, Hopf algebra and Lie algebra.
His Pure mathematics research integrates issues from Discrete mathematics and Group.
His research integrates issues of Quantization and Yang–Baxter equation in his study of Algebra.
He usually deals with Quantum group and limits it to topics linked to Quasitriangular Hopf algebra and Representation theory of Hopf algebras.
His Hopf algebra research incorporates themes from Zero, Universality, Tensor and Indecomposable module.
His Lie algebra research includes elements of Associative property, Noncommutative quantum field theory, Abstract algebra, Braid group and Principal bundle.
His most cited work include:
- On fusion categories (677 citations)
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism (606 citations)
- Quantization of Lie bialgebras, II (341 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Algebra, Hopf algebra, Quantum group and Lie algebra.
As a member of one scientific family, Pavel Etingof mostly works in the field of Pure mathematics, focusing on Quantum and, on occasion, Mathematical physics.
He studies Algebra, focusing on Affine transformation in particular.
Pavel Etingof has included themes like Quasitriangular Hopf algebra, Division algebra, Prime, Group algebra and Algebraically closed field in his Hopf algebra study.
The concepts of his Quantum group study are interwoven with issues in Quantum affine algebra, Universal enveloping algebra, Algebra representation and Representation theory of Hopf algebras.
His Universal enveloping algebra study combines topics from a wide range of disciplines, such as Affine Lie algebra, Subalgebra, Cellular algebra and Lie conformal algebra.
He most often published in these fields:
- Pure mathematics (71.62%)
- Algebra (22.27%)
- Hopf algebra (20.52%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (71.62%)
- Hopf algebra (20.52%)
- Symmetric tensor (3.71%)
In recent papers he was focusing on the following fields of study:
Pavel Etingof focuses on Pure mathematics, Hopf algebra, Symmetric tensor, Algebraically closed field and Combinatorics.
Many of his studies on Pure mathematics apply to Type as well.
His study in Hopf algebra is interdisciplinary in nature, drawing from both Representation theory of Hopf algebras, Finite group, Prime, Quantum group and Quotient category.
His Quantum group research incorporates elements of Discrete mathematics and Non-associative algebra.
His Algebraically closed field research also works with subjects such as
- Abelian group which is related to area like Quotient,
- Group together with Mathematical physics, Quantization and Domain.
His work carried out in the field of Combinatorics brings together such families of science as Functor, Fiber functor and Field.
Between 2015 and 2021, his most popular works were:
- On semisimplification of tensor categories (23 citations)
- Representation Theory in Complex Rank, I (22 citations)
- Short Star-Products for Filtered Quantizations, I (15 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Vector space
Pavel Etingof spends much of his time researching Pure mathematics, Hopf algebra, Symmetric tensor, Algebraically closed field and Functor.
Pavel Etingof has researched Pure mathematics in several fields, including Finite group and Rank.
As part of the same scientific family, Pavel Etingof usually focuses on Hopf algebra, concentrating on Commutative property and intersecting with Representation theory of Hopf algebras, Comodule, Commutative algebra, Invariant and Quadratic growth.
His Symmetric tensor study integrates concerns from other disciplines, such as Vector space, Exact functor, Combinatorics and Tensor product.
His studies deal with areas such as Ring and Zero as well as Functor.
Group is a subfield of Algebra that Pavel Etingof studies.
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