کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416029 1631091 2016 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Standard polynomials and matrices with superinvolutions
ترجمه فارسی عنوان
چندجملهایهای استاندارد و ماتریسهای با سوپرنواخت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let Mn(F) be the algebra of n×n matrices over a field F of characteristic zero. The superinvolutions ⁎ on Mn(F) were classified by Racine in [12]. They are of two types, the transpose and the orthosymplectic superinvolution. This paper is devoted to the study of ⁎-polynomial identities satisfied by Mn(F). The goal is twofold. On one hand, we determine the minimal degree of a standard polynomial vanishing on suitable subsets of symmetric or skew-symmetric matrices for both types of superinvolutions. On the other, in case of M2(F), we find generators of the ideal of ⁎-identities and we compute the corresponding sequences of cocharacters and codimensions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 504, 1 September 2016, Pages 272-291
نویسندگان
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