Generic character sheaves on groups over k[∊]/[∊]r
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1508.05015.pdf
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227.1 KB
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Author(s)
Lusztig, George
Date Issued
2017
Journal
Categorification and Higher Representation Theory
Publisher
AMS
Citation
Lusztig, G., "Generic character sheaves on groups over k[∊]/[∊]r." In Beliakova, Anna, and Aaron D. Lauda, eds., Categorification and Higher Representation Theory (Providence, R.I.: American Mathematical Society, 2017): p. 227-46 ©2017 Author(s)
Version
Original manuscript
Abstract
Let k be an algebraic closure of the finite field F[subscript q] with q elements where q is a power of a prime number p. Let G be a connected reductive group over k with a fixed split F[subscript q]-rational structure, a fixed Borel subgroup B defined over F[subscript q], with unipotent radical U and a fixed maximal torus T of B defined over F[subscript q]. Let g, b, t, n be the Lie algebras of G, B, T, U. We fix a prime number l ≠ p. If λ : T(F[subscript q]) → [line over Q][subscript * under superscript l] is a character, we can lift λ to a character λ˜ : B(F[subscript q]) → [line over Q][subscript * under superscript l] trivial on U(F[subscript q]) and we can form the induced representation [mathematical figure; see resource] of G(F[subscript q]). [First paragraph] ©2017
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://www.ams.org/books/conm/683/conm683-endmatter.pdf
