منابع مشابه
Arithmetic inner product formula for unitary groups
Arithmetic inner product formula for unitary groups
متن کاملTrotter-Kato product formula for unitary groups
Let A and B be non-negative self-adjoint operators in a separable Hilbert space such that its form sum C is densely defined. It is shown that the Trotter product formula holds for imaginary times in the L-norm, that is, one has
متن کاملOn the Siegel-weil Formula for Quaternionic Unitary Groups
We extend the Siegel-Weil formula to all quaternion dual pairs. Applications include the classification problem of skew hermitian forms over a quaternion algebra over a number field and a product formula for the weighted average of the representation numbers of a skew hermitian form by another skew hermitian form.
متن کاملOn local gamma factors for orthogonal groups and unitary groups
In this paper, we find a relation between the proportionality factors which arise from the functional equations of two families of local Rankin-Selberg convolutions for irreducible admissible representations of orthogonal groups, or unitary groups. One family is that of local integrals of the doubling method, and the other family is that of local integrals expressed in terms of sph...
متن کاملBehavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups
We study $R$-groups for $p$-adic inner forms of quasi-split special unitary groups. We prove Arthur's conjecture, the isomorphism between the Knapp-Stein $R$-group and the Langlands-Arthur $R$-group, for quasi-split special unitary groups and their inner forms. Furthermore, we investigate the invariance of the Knapp-Stein $R$-group within $L$-packets and between inner forms. This w...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2013
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2013.264.235