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- Brian Parshall

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
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
5,538
125
World Ranking
2675
National Ranking
1109

2013 - Fellow of the American Mathematical Society

- Pure mathematics
- Algebra
- Representation theory

Brian Parshall focuses on Pure mathematics, Algebra, Affine Lie algebra, Group cohomology and Graded Lie algebra. Pure mathematics is closely attributed to Discrete mathematics in his work. Brian Parshall combines subjects such as Stratification and Quadratic algebra with his study of Algebra.

His Affine Lie algebra research includes themes of Non-associative algebra and Quantum group. His study in the field of Factor system also crosses realms of Divisible group. His studies deal with areas such as Modular representation theory and -module as well as Graded Lie algebra.

- Finite dimensional algebras and highest weight categories. (743 citations)
- Quantum linear groups (303 citations)
- Rational and Generic Cohomology (188 citations)

His primary areas of study are Pure mathematics, Algebra, Cohomology, Discrete mathematics and Algebraic group. Borrowing concepts from Schur algebra, Brian Parshall weaves in ideas under Pure mathematics. As part of one scientific family, Brian Parshall deals mainly with the area of Algebra, narrowing it down to issues related to the Affine Lie algebra, and often Non-associative algebra.

His study looks at the relationship between Cohomology and topics such as Reductive group, which overlap with Algebraic cycle. His work carried out in the field of Discrete mathematics brings together such families of science as Group and Kazhdan–Lusztig polynomial. The study incorporates disciplines such as Coxeter element and Algebraically closed field, Simply connected space, Combinatorics in addition to Algebraic group.

- Pure mathematics (65.35%)
- Algebra (35.43%)
- Cohomology (22.83%)

- Pure mathematics (65.35%)
- Algebraic group (19.69%)
- Algebraic number (14.96%)

His primary scientific interests are in Pure mathematics, Algebraic group, Algebraic number, Cohomology and Representation theory. His Pure mathematics research is multidisciplinary, incorporating elements of Discrete mathematics and Structure. Within one scientific family, Brian Parshall focuses on topics pertaining to Weyl group under Discrete mathematics, and may sometimes address concerns connected to Kazhdan–Lusztig polynomial.

His research in Algebraic number intersects with topics in Group of Lie type, Classification of finite simple groups, Root of unity and Quantum group. His Cohomology research incorporates elements of Reductive group and Degree. Representation theory is a primary field of his research addressed under Algebra.

- Reduced standard modules and cohomology (44 citations)
- Bounding Ext for modules for algebraic groups, finite groups and quantum groups ✩ (29 citations)
- Cohomology for Quantum Groups Via the Geometry of the Nullcone (27 citations)

- Pure mathematics
- Representation theory
- Algebra

Brian Parshall mainly investigates Pure mathematics, Algebraic number, Algebraic group, Cohomology and Representation theory. His Pure mathematics study frequently links to adjacent areas such as Structure. His Algebraic group study combines topics from a wide range of disciplines, such as Discrete mathematics, Coxeter element and Simply connected space.

His Coxeter element research integrates issues from Quantum group and Lie algebra. Cohomology is represented through his Group cohomology and Equivariant cohomology research. His Étale cohomology study, which is part of a larger body of work in Group cohomology, is frequently linked to Galois cohomology, bridging the gap between disciplines.

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.

Finite dimensional algebras and highest weight categories.

E. Cline;B. Parshall;L. Scott.

Crelle's Journal **(1988)**

1195 Citations

Quantum linear groups

Brian Parshall;Jian Pan Wang.

**(1991)**

470 Citations

Stratifying endomorphism algebras

Edward Cline;Brian Parshall;Leonard Scott.

**(1996)**

293 Citations

Rational and Generic Cohomology

E. Cline;B. Parshall;L. Scott.

Inventiones Mathematicae **(1977)**

256 Citations

Support varieties for restricted Lie alge-bras.

Eric M. Friedlander;Brian J. Parshall.

Inventiones Mathematicae **(1986)**

230 Citations

Modular representation theory of Lie algebras

Eric M. Friedlander;Brian J. Parshall.

American Journal of Mathematics **(1988)**

220 Citations

Derived categories and Morita theory

E Cline;B Parshall;L Scott.

Journal of Algebra **(1986)**

179 Citations

Quantum Weyl Reciprocity and Tilting Modules

Jie Du;Brian Parshall;Leonard Scott.

Communications in Mathematical Physics **(1998)**

152 Citations

Cohomology of finite groups of Lie type, I

Edward Cline;Brian Parshall;Leonard Scott.

Publications Mathématiques de l'IHÉS **(1975)**

145 Citations

Cohomology of Lie Algebras and Algebraic Groups

Eric M. Friedlander;Brian J. Parshall.

American Journal of Mathematics **(1986)**

137 Citations

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