Central extensions of reductive groups by K2

By Jean-Luc Brylinski, P. Deligné. 2001

158 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4d1c6788e2b3c279c4d4d571249ff35a9d1dba46

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. F. Morel
2. D. Gaitsgory
3. David Kazhdan
4. T. Mochizuki

In Geometry and Topology

1. F. Morel
2. D. Gaitsgory
3. David Kazhdan
4. E. Frenkel
5. V. Drinfeld
6. E. Witten
7. Y. Sakellaridis
8. M. Levine

In Mathematical Physics

1. F. Morel
2. D. Gaitsgory
3. David Kazhdan
4. E. Frenkel
5. V. Drinfeld
6. E. Witten
7. Y. Sakellaridis
8. M. Levine

Citations in the corpus

• Representations of algebraic groups over a 2-dimensional local field (2003, background): “ssume now that the group Gis split, simple and simply-connected. In this case, a data of an extension Gb is equivalent to that of a W-invariant even symmetric bilinear form Q: Λ⊗Λ → Z (cf. Sect. 4 of [4]), and we fix this form to be the minimal one, i.e., 1 2hˇ Q0, where Q0 corresponds to the Killing”
• The metaplectic Casselman-Shalika formula (2011, unknown): “(Gm,TF). This is equipped with actions of both WF and the Galois group Gal(F/F). Let Qbe a Gal(F/F) and WF-invariant integer valued quadratic form on HomF(Gm,TF). By the work of Brylinski and Deligne [BD], associated to Qis a central extension of Gby K2 as sheaves on the big Zariski site over Spec(F”
• Projectivity of the Witt vector affine Grassmannian (2015, unknown): “[BD01].”
• A1-Algebraic Topology over a Field (2012, background): “and the inclusions SL2 ! SLn, n 3, induce an isomorphism KMW 2 = = KM2 = A1 1 (SLn) Remark 23 1) In view of [12] it should be interesting to determine the possible A1 1 of linear algebraic groups.”