THE CATEGORIES OF LUBIN-TATE AND DRINFELD BUNDLES
Abstract
Abstract For a finite extension F of double struck upper Q Subscript p ${\mathbb Q}_p$ Q p and n greater than or equals 1 $n \geq 1$ n ≥ 1 , we show that the category of Lubin-Tate bundles on the left parenthesis n minus 1 right parenthesis $(n-1)$ ( n − 1 ) -dimensional Drinfeld symmetric space is equivalent to the category of finite-dimensional smooth representations of the group of units of the division algebra of invariant 1 divided by n $1/n$ 1 / n over F .
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of the Institute of Mathematics of Jussieu
- Publisher
- Cambridge University Press (CUP)
- Volume
- 25
- Issue
- 3
- Pages
- 1579–1616
- Publication date
- 10 April 2026
- Language
- EN