scholarly journals Traces in SL(3,C) and SU(2,1) Groups

2016 ◽  
Vol 17 ◽  
pp. 19-29
Author(s):  
Dickson Y.B. Annor ◽  
Richard K. Boadi
Keyword(s):  
Cross Ratio ◽  
Triangle Groups

In this paper we prove some trace identities in SL(3,C) and SU(2,1) groups. We also present the merits on how to parametrise pair of pants via traces and cross-ratio. Finally, we compute traces of matrices that are generated by complex reflections in complex triangle groups.

Projector calibration based on cross ratio invariance

2020 ◽  
Vol 13 (6) ◽  
pp. 1-9
Author(s):  
YANG Jian-bai ◽  
◽  
ZHAO Jian ◽  
SUN Qiang ◽  
Keyword(s):  
Cross Ratio ◽  
Projector Calibration

Suggested Notation for Ratios and Cross-Ratios

1912 ◽  
Vol 6 (98) ◽  
pp. 294-296
Author(s):  
Alfred Lodge
Keyword(s):  
Cross Ratio ◽  
The Cross

I wish to call attention to the value, for some purposes, ot the notation for the ratio ; and for the cross-ratio . For instance: in Menelaus’ theorem for the property of a transversal meeting the sides of a triangle ABC in the points P, Q, R, the first mentioned notation makes the property shine out very clearly The equation in the form is , which conspicuously separates the points on the transversal from the angular points of the triangle.

scholarly journals Time-dependent cross ratio estimation for bivariate failure times

Biometrika ◽  
2011 ◽  
Vol 98 (2) ◽  
pp. 341-354 ◽  
Author(s):  
T. Hu ◽  
B. Nan ◽  
X. Lin ◽  
J. M. Robins
Keyword(s):  
Cross Ratio ◽  
Time Dependent ◽  
Ratio Estimation ◽  
Failure Times

Maps, Hypermaps and Triangle Groups

1994 ◽  
pp. 115-146 ◽  
Author(s):  
Gareth Jones ◽  
David Singerman
Keyword(s):  
Triangle Groups

Equivariant Forms: Structure and Geometry

2013 ◽  
Vol 56 (3) ◽  
pp. 520-533 ◽  
Author(s):  
Abdelkrim Elbasraoui ◽  
Abdellah Sebbar
Keyword(s):  
Riemann Surface ◽  
Line Bundle ◽  
Modular Forms ◽  
Differential Forms ◽  
Cross Ratio ◽  
Canonical Line Bundle ◽  
The Cross

Abstract.In this paper we study the notion of equivariant forms introduced in the authors' previous works. In particular, we completely classify all the equivariant forms for a subgroup of SL2(ℤ) by means of the cross-ratio, weight 2 modular forms, quasimodular forms, as well as differential forms of a Riemann surface and sections of a canonical line bundle.

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