Level One Kac-Moody Characters and Modular Invariance
Claude Itzykson (1988)
Recherche Coopérative sur Programme n°25
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Claude Itzykson (1988)
Recherche Coopérative sur Programme n°25
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Ibrahim A. I. Suleiman (1995)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we calculate the 2-modular character table of the twisted Chevalley group 2D4(2) using computer techniques available in an algebra package called Meat-Axe. This package is now available in Mu'tah University as well as other universities such as Birmingham University in the UK and Aachen University in Germany. The determination of this character table will be a contribution to modular calculations of various simple groups.
D. Choi (2006)
Acta Arithmetica
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J.A. Green (1962)
Mathematische Zeitschrift
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Ibrahim A. I. Suleiman (1995)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we calculate the 3-modular character table of the twisted Chevalley group 2D4(2) and its automorphism group 2D4(2).2. The Meat-Axe package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of condensation, which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.
Hidegoro Nakano (1968)
Studia Mathematica
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Heima Hayashi (2006)
Acta Arithmetica
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J. Brzezinski (1978)
Mathematica Scandinavica
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Besser, Amnon (1997)
Documenta Mathematica
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(2013)
Acta Arithmetica
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The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.
Arjune Budhram (2002)
Acta Arithmetica
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K.A. Ribet (1990)
Inventiones mathematicae
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Olivier Mathieu (1995)
Recherche Coopérative sur Programme n°25
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Hans Herda (1968)
Studia Mathematica
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