Splittings of the metaplectic covers of some reductive dual pairs

نویسندگان

چکیده

برای دانلود رایگان 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

Splittings of the Metaplectic Covers of Some Reductive Dual Pairs

In this paper, we construct a splitting of the metaplectic cover of the reductive dual pairs of orthogonal and symplectic groups or the reductive dual pairs of unitary groups over a nonarchimedean local field with respect to a generalized lattice model of the Weil representation. We also prove a result concerning the splitting that we construct and the theta dichotomy for unitary group. The spl...

متن کامل

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

15 صفحه اول

Orbit Correspondences for Real Reductive Dual Pairs

Suppose that V ,W be a symplectic space and a quadratic space respectively over R. Let g1,g2 be the Lie algebras of the groups of isometries of two spaces. Let τi :V ⊗RW → gi be the moment maps and O be the closure of a nilpotent orbit O in gi for i = 1 or 2. In this paper we show that τ3−i (τ −1 i (O )) is a union of at most two closures of nilpotent orbits in g3−i .

متن کامل

Geometric construction of metaplectic covers of GLn in characteristic zero

This paper presents a new construction of the m-fold metaplectic cover of GLn over an algebraic number field k, where k contains a primitive m-th root of unity. A 2-cocycle on GLn(A) representing this extension is given and the splitting of the cocycle on GLn(k) is found explicitly. The cocycle is smooth at almost all places of k. As a consequence, a formula for the Kubota symbol on SLn is obta...

متن کامل

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

15 صفحه اول

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: Pacific Journal of Mathematics

سال: 2001

ISSN: 0030-8730

DOI: 10.2140/pjm.2001.199.163