H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 41 Citations 6,841 83 World Ranking 969 National Ranking 452

Overview

What is he best known for?

The fields of study he is best known for:

  • Pure mathematics
  • Algebra
  • Vector space

His primary areas of study are Vertex operator algebra, Vertex, Pure mathematics, Operator algebra and Tensor product. Yi-Zhi Huang has included themes like Operator product expansion, Conjecture, Tensor product of modules and Algebra in his Vertex operator algebra study. Yi-Zhi Huang interconnects Vertex model, Algebra representation, Compact operator and Lie conformal algebra in the investigation of issues within Operator product expansion.

He combines subjects such as Shift operator and Multiplication operator with his study of Algebra. His research on Pure mathematics focuses in particular on Associative algebra. His biological study spans a wide range of topics, including Tensor and Category of modules.

His most cited work include:

  • On Axiomatic Approaches to Vertex Operator Algebras and Modules (959 citations)
  • A theory of tensor products for module categories for a vertex operator algebra, III (253 citations)
  • Two-Dimensional Conformal Geometry and Vertex Operator Algebras (198 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Vertex operator algebra, Vertex, Pure mathematics, Operator algebra and Algebra. His Vertex operator algebra research integrates issues from Discrete mathematics, Conjecture, Tensor product, Lie conformal algebra and Operator product expansion. His Lie conformal algebra study integrates concerns from other disciplines, such as Current algebra and Algebra representation.

His research on Pure mathematics often connects related areas such as Associative property. Functor is closely connected to Conformal map in his research, which is encompassed under the umbrella topic of Operator algebra. His research brings together the fields of Ladder operator and Algebra.

He most often published in these fields:

  • Vertex operator algebra (105.44%)
  • Vertex (82.99%)
  • Pure mathematics (68.03%)

What were the highlights of his more recent work (between 2014-2021)?

  • Vertex (82.99%)
  • Vertex operator algebra (105.44%)
  • Pure mathematics (68.03%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Vertex, Vertex operator algebra, Pure mathematics, Algebra and Combinatorics. His Vertex research encompasses a variety of disciplines, including Subalgebra, Superalgebra, Operator algebra, Automorphism and Representation theory. As a part of the same scientific family, he mostly works in the field of Operator algebra, focusing on Functor and, on occasion, Subquotient and Universal enveloping algebra.

Yi-Zhi Huang focuses mostly in the field of Vertex operator algebra, narrowing it down to matters related to Associative algebra and, in some cases, Bijection. His Pure mathematics research is multidisciplinary, incorporating perspectives in Twist and Associative property. His Combinatorics research incorporates themes from Cohomology and Meromorphic function.

Between 2014 and 2021, his most popular works were:

  • Braided Tensor Categories and Extensions of Vertex Operator Algebras (126 citations)
  • Braided tensor categories of admissible modules for affine Lie algebras (47 citations)
  • On the applicability of logarithmic tensor category theory (18 citations)

In his most recent research, the most cited papers focused on:

  • Pure mathematics
  • Algebra
  • Vector space

Yi-Zhi Huang mainly focuses on Vertex, Vertex operator algebra, Pure mathematics, Twist and Combinatorics. His Vertex operator algebra research includes elements of Associative property and Automorphism. Category theory and Lie algebra are subfields of Pure mathematics in which his conducts study.

His study in Category theory is interdisciplinary in nature, drawing from both Discrete mathematics, Tensor, Logarithm, Ribbon category and Tensor product of algebras. Yi-Zhi Huang has researched Twist in several fields, including Commutative property, Category of modules, Affine transformation, Affine Lie algebra and Quantum group. His Commutative property study combines topics in areas such as Operator algebra, Associative algebra and Uniqueness.

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.

Best Publications

On Axiomatic Approaches to Vertex Operator Algebras and Modules

Igor B. Frenkel;Yi-Zhi Huang;James Lepowsky.
(1993)

991 Citations

Two-Dimensional Conformal Geometry and Vertex Operator Algebras

Yi-Zhi Huang.
(1997)

303 Citations

VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE

Yi-Zhi Huang;Yi-Zhi Huang;Yi-Zhi Huang.
Communications in Contemporary Mathematics (2008)

272 Citations

RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

Yi Zhi Huang.
Communications in Contemporary Mathematics (2008)

266 Citations

A theory of tensor products for module categories for a vertex operator algebra, III

Yi-Zhi Huang;James Lepowsky.
Journal of Pure and Applied Algebra (1995)

259 Citations

DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS

Yi Zhi Huang.
Communications in Contemporary Mathematics (2005)

228 Citations

Vertex operator algebras, the Verlinde conjecture, and modular tensor categories

Yi-Zhi Huang.
Proceedings of the National Academy of Sciences of the United States of America (2005)

206 Citations

Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories

Yi-Zhi Huang;James Lepowsky.
arXiv: High Energy Physics - Theory (1994)

191 Citations

A theory of tensor products for module categories for a vertex operator algebra, II

Yi-Zhi Huang;James Lepowsky.
Selecta Mathematica-new Series (1995)

164 Citations

Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules

Yi-Zhi Huang;Yi-Zhi Huang;James Lepowsky;Lin Zhang.
arXiv: Quantum Algebra (2014)

156 Citations

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