Gradings of positive rank on simple Lie algebras

By Mark Reeder, Paul Blain Levy, J. Yu, B. Gross. 2012

90 citations recorded by the source corpus.

We complete the classification of positive rank gradings on Lie algebras of simple algebraic groups over an algebraically closed field k whose characteristic is zero or not too small, and we determine the little Weyl groups in each case. We also classify the stable gradings and prove Popov’s conjecture on the existence of a Kostant section.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/83ea72c0b7f07063f91e670a486c604b51519c13

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Alexei Oblomkov
2. Zhiwei Yun
3. J. Yu
4. Mark Reeder
5. Tasho Kaletha
6. Tom H. Koornwinder
7. Vivek V. Shende
8. Jacob Rasmussen

In Geometry and Topology

1. Tasho Kaletha
2. Alexei Oblomkov
3. Mark Reeder
4. J. Yu
5. Zhiwei Yun
6. Jessica Fintzen
7. W. Gan
8. Jacob Rasmussen

In Mathematical Physics

1. Tasho Kaletha
2. Mark Reeder
3. J. Yu
4. Alexei Oblomkov
5. Zhiwei Yun
6. Jessica Fintzen
7. W. Gan
8. Tom H. Koornwinder

Citations in the corpus

• Geometric representations of graded and rational Cherednik algebras (2014, methodology): “Out treatment here is strongly influenced by the work of Gross, Levy, Reeder and Yu (see [22] and [33]).”
• Epipelagic representations and invariant theory (2013, methodology): “, those of positive rank with finite isotropy groups) was also classified in [27].”
• Epipelagic $$L$$L-packets and rectifying characters (2012, background): “The purpose of this section is to recall some material from [17,48,58], which is relevant to our situation.”