Finite Symplectic Matrix Groups

نویسنده

  • Markus Kirschmer
چکیده

This paper classifies the maximal finite subgroups of Sp 2n (Q) for 1 ≤ n ≤ 11 up to conjugacy in GL2n(Q).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A matrix approach to the rational invariants of certain classical groups over finite fields of characteristic two

Let Fq be a finite field of characteristic two and Fq(X1, . . . , Xn) a rational function field. We use matrix methods to obtain explicit transcendental bases of the invariant subfields of orthogonal groups and pseudo-symplectic groups on Fq(X1, . . . , Xn) over Fq.

متن کامل

Wilson loops in the light of spin networks

If G is any finite product of orthogonal, unitary and symplectic matrix groups, then Wilson loops generate a dense subalgebra of continuous observables on the configuration space of lattice gauge theory with structure group G. If G is orthogonal, unitary or symplectic, then Wilson loops associated to the natural representation of G are enough. This extends a result of A. Sengupta [7]. In partic...

متن کامل

The permutation action of finite symplectic groups of odd characteristic on their standard modules

We study the space of functions on a finite-dimensional vector space over a field of odd order as a module for a symplectic group. We construct a basis of this module with the following special properties. Each submodule generated by a single basis element under the symplectic group action is spanned as a vector space by a subset of the basis and has a unique maximal submodule. From these prope...

متن کامل

Maxwell ’ S Equations , Symplectic Matrix , and Grid

The connections between Maxwell’s equations and symplectic matrix are studied. First, we analyze the continuous-time Maxwell’s differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix for real space. Second, the spatial differential operators are discretized by pseudo-spectral (PS) approach wi...

متن کامل

Achievable spectral radii of symplectic Perron–Frobenius matrices

A pseudo-Anosov surface automorphism φ has associated to it an algebraic unit λφ called the dilatation of φ. It is known that in many cases λφ appears as the spectral radius of a Perron–Frobenius matrix preserving a symplectic form L. We investigate what algebraic units could potentially appear as dilatations by first showing that every algebraic unit λ appears as an eigenvalue for some integra...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Experimental Mathematics

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2011