Some modular functions associated to the Lie algebra E8.

S.-P. Chan; M.-L. Lang; Chong-Hai Lim

Displaying similar documents to “Some modular functions associated to the Lie algebra E8.”

The classification of modular Lie superalgebras of type M

Lili Ma, Liangyun Chen (2015)

Open Mathematics

Similarity:

The natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.

The Eisenstein family for the modular group along closed geodescis.

Roland Matthes (1996)

Mathematische Zeitschrift

Similarity:

Extension functors of modular Lie algebras.

Rolf Fransteiner (1990)

Mathematische Annalen

Similarity:

Faltings modular height and self-intersection of dualizing sheaf.

Atsushi Moriwaki (1995)

Mathematische Zeitschrift

Similarity:

On values of a modular form on Γ₀(N)

D. Choi (2006)

Acta Arithmetica

Similarity:

Modular Harish-Chandra theory. I.

Richard Dipper, Peter Fleischmann (1992)

Mathematische Zeitschrift

Similarity:

Modular equations for some η-products

(2013)

Acta Arithmetica

Similarity:

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.