کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6425949 | 1345399 | 2012 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Weil representation in characteristic two
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we construct a new variant of the Weil representation, associated with a symplectic vector space (V,Ï) defined over a finite field of characteristic two. Our variant is a representation Ï:AMp(V)âGL(H), where the group AMp(V) is the fourth cover of a group ASp(V) which is a non-trivial extension of the symplectic group Sp(V) by the dual group Vâ. In particular, the group ASp(V) contains Weil's pseudo-symplectic group as a strict subgroup. Along the way, we develop the formalism of canonical vector spaces which enables us to realize the group AMp(V) and the Weil representation Ï in a transparent manner and also yields a conceptual explanation for these important objects of representation theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 230, Issue 3, 20 June 2012, Pages 894-926
Journal: Advances in Mathematics - Volume 230, Issue 3, 20 June 2012, Pages 894-926
نویسندگان
Shamgar Gurevich, Ronny Hadani,