Parabolic character sheaves, III

By G. Lusztig. 2009

55 citations recorded by the source corpus.

We define character sheaves on an ind-variety of the form G((t))/U_P where G((t)) is a loop group and U_P is the prounipotent radical of a parahoric subgroup P of G((t)).

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

View Paper: https://www.semanticscholar.org/paper/bfb2b68c4ea352cdde549400b05a0a4e82127ccf

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In Discrete Mathematics and Combinatorics

1. G. Lusztig
2. Mark Reeder
3. F. Herzig
4. Daisuke Yamakawa
5. J. Arthur
6. B. Gross
7. M. Solleveld
8. J. Yu

In Geometry and Topology

1. G. Lusztig
2. Bernard Leclerc
3. Syu Kato
4. Meinolf Geck
5. Zhiwei Yun
6. H. Nakajima
7. F. Herzig
8. Daisuke Yamakawa

In Mathematical Physics

1. G. Lusztig
2. Syu Kato
3. Meinolf Geck
4. Zhiwei Yun
5. Mark Reeder
6. F. Herzig
7. M. Solleveld
8. Daisuke Yamakawa

Citations in the corpus

• Character sheaves on disconnected groups, X (2003, background): “Since � is an affine space (see [L10, 3.12(b)]) defined overFq, it must contain some F-fixed point (P, P ′ , γ). By [L10, 3.8], � is a homogeneous UP ∩ P ′ space (the action being the restriction of the G 0 -action on t Z) and the isotropy group of (P, P ′ , γ) is UP ∩ UP ′ (see [ L10 , 3.9]).”