Lattices in rank one Lie groups over local fields

1991 ◽  
Vol 1 (4) ◽  
pp. 405-431 ◽  
Author(s):  
Alexander Lubotzky
Keyword(s):  
Lie Groups ◽  
Local Fields ◽  
Rank One

Representations of rank one Lie groups. II. 𝑛-cohomology

1988 ◽  
Vol 74 (387) ◽  
pp. 0-0
Author(s):  
David H. Collingwood
Keyword(s):  
Lie Groups ◽  
Rank One

scholarly journals FUNDAMENTAL DOMAINS FOR LATTICES IN RANK ONE SEMISIMPLE LIE GROUPS

1969 ◽  
Vol 62 (2) ◽  
pp. 309-313 ◽  
Author(s):  
H. Garland ◽  
M. S. Raghunathan
Keyword(s):  
Lie Groups ◽  
Semisimple Lie Groups ◽  
Fundamental Domains ◽  
Rank One

On the Plancherel measure for linear Lie groups of rank one

1979 ◽  
Vol 29 (2-4) ◽  
pp. 249-276 ◽  
Author(s):  
Roberto J. Miatello
Keyword(s):  
Lie Groups ◽  
Plancherel Measure ◽  
Rank One

On Newton polygons techniques and factorization of polynomials over Henselian fields

2019 ◽  
Vol 19 (10) ◽  
pp. 2050188
Author(s):  
Lhoussain El Fadil
Keyword(s):  
Newton Polygon ◽  
Monic Polynomial ◽  
Local Fields ◽  
Algebraic Number Theory ◽  
Newton Polygons ◽  
Valued Field ◽  
Rank One ◽  
Difference Polynomials ◽  
Polynomial Formula ◽  
Factorization Of Polynomials

Let [Formula: see text] be a valued field, where [Formula: see text] is a rank-one discrete valuation, with valuation ring [Formula: see text]. The goal of this paper is to investigate some basic concepts of Newton polygon techniques of a monic polynomial [Formula: see text]; namely, theorem of the product, of the polygon, and of the residual polynomial, in such way that improves that given in [D. Cohen, A. Movahhedi and A. Salinier, Factorization over local fields and the irreducibility of generalized difference polynomials, Mathematika 47 (2000) 173–196] and generalizes that given in [J. Guardia, J. Montes and E. Nart, Newton polygons of higher order in algebraic number theory, Trans. Amer. Math. Soc. 364(1) (2012) 361–416] to any rank-one valued field.

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