Steinberg-type presentation for Lie-type groups

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Black Box Exceptional Groups of Lie Type

If a black box group is known to be isomorphic to an exceptional simple group of Lie type of (twisted) rank > 1, other than any F4(q), over a field of known size, a Las Vegas algorithm is given to produce a constructive isomorphism. In view of its timing, this algorithm yields an upgrade of all known nearly linear time Monte Carlo permutation group algorithms to Las Vegas algorithms when the in...

متن کامل

Computing in groups of Lie type

We describe two methods for computing with the elements of untwisted groups of Lie type: using the Steinberg presentation and using highest weight representations. We give algorithms for element arithmetic within the Steinberg presentation. Conversion between this presentation and linear representations is achieved using a new generalisation of row and column reduction.

متن کامل

Lie Bialgebras of Complex Type and Associated Poisson Lie Groups

In this work we study a particular class of Lie bialgebras arising from Hermitian structures on Lie algebras such that the metric is ad-invariant. We will refer to them as Lie bialgebras of complex type. These give rise to Poisson Lie groups G whose corresponding duals G∗ are complex Lie groups. We also prove that a Hermitian structure on g with ad-invariant metric induces a structure of the sa...

متن کامل

Additive Polynomials for Finite Groups of Lie Type

This paper provides a realization of all classical and most exceptional finite groups of Lie type as Galois groups over function fields over Fq (in defining characteristic) and derives explicit additive polynomials for the extensions. Our unified approach is based on results of Matzat which give bounds for Galois groups of Frobenius modules and uses the structure and representation theory of th...

متن کامل

Minimal logarithmic signatures for finite groups of Lie type

New methods are developed to construct algorithmically good logarithmic signatures for affine algebraic groups, using Singer subgroups. The well known conjecture about the existence of minimal logarithmic signature (MLS) for simple groups is shown to be true for some finite simple groups of Lie type.

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

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2006

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2005.04.031