Orthogonal linear group–subgroup pairs with the same invariants

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

Irreducible Linear Group-Subgroup Pairs with the Same Invariants

We consider the problem of finding all linear algebraic groupsubgroup pairs such that the rational invariants of the group and of the subgroup coincide. In this paper the solution will be given for the case where both the group and the subgroup are connected complex irreducible linear groups.

متن کامل

Stable Pairs and Bps Invariants

0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 268 1. χ-functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 270 2. BPS rationality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 2.1. Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 2.2. Remarks . . . . . . . . . . . . . . . . . . . . . ....

متن کامل

Mod 2 Indecomposable Orthogonal Invariants

Over an algebraically closed base field k of characteristic 2, the ring R of invariants is studied, G being the orthogonal group O(n) or the special orthogonal group SO(n) and acting naturally on the coordinate ring R of the m–fold direct sum k ⊕ · · · ⊕ k of the standard vector representation. It is proved for O(n) (n ≥ 2) and for SO(n) (n ≥ 3) that there exist m–linear invariants with m arbit...

متن کامل

Enumerating pairs of permutations with the same up-down form

For each sequence q = {qi} = ±1, i = 1 . . . . . n 1 let Nq = the number of permutations tr of 1, 2 . . . . . n with up-down sequence sgn(tri+x-tri) = th, i = 1 . . . . . n 1. Clearly Y.q (Nqln!) = 1 but what is the probability p, = Y.q (NJn! ) 2 that two random permutations have the same up-down sequence? We show that p,, = ( K " t l , 1) where 1 = l(x, y)-1 and K "-1 is the iterated integral ...

متن کامل

Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups

Subject of the present paper is the study and construction of complete independent invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups. Stable computational algorithms for finding the orthogonal canonical forms are presented and their numerical properties are discussed. In view of their nice numerical properties the orthogonal can...

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.2005.11.008