Discriminants of orthogonal involutions on central simple algebras with tame gauges
نویسندگان
چکیده
منابع مشابه
Essential Dimension of Simple Algebras with Involutions
Let 1 ≤ m ≤ n be integers with m|n and Alg n,m the class of central simple algebras of degree n and exponent dividing m. In this paper, we find upper bounds for the essential (2)-dimension of Alg n,2 . Moreover, we find a stronger upper bound for the essential 2-dimension of Alg n,2 over a field F of char(F ) 6= 2. As a result, we show that ed2(Alg16,2) = 24 over a field F of char(F ) 6= 2.
متن کاملTAME SUPERCUSPIDAL REPRESENTATIONS OF GLn DISTINGUISHED BY ORTHOGONAL INVOLUTIONS
For a p-adic field F of characteristic zero, the embeddings of a tame supercuspidal representation π of G = GLn(F ) in the space of smooth functions on the set of symmetric matrices in G are determined. It is shown that the space of such embeddings is nonzero precisely when −1 is in the kernel of π and, in this case, this space has dimension four. In addition, the space of H-invariant linear fo...
متن کاملOn Anisotropy of Orthogonal Involutions
We show that an orthogonal involution of a central division algebra D (over a field of characteristic not 2) remains anisotropic over the generic splitting field of D. We also give a couple of other applications of the same technique.
متن کاملDiscriminants of Brauer Algebras
In this paper, we compute Gram determinants associated to all cell modules of Brauer algebras Bn(δ). Theoretically, we know when a cell module of Bn(δ) is equal to its simple head. This gives a solution of this long standing problem. On the occasion of Professor Gus Lehrer’s 60 birthday
متن کاملHyperbolicity of Orthogonal Involutions
We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic 6= 2 remains non-hyperbolic over some splitting field of the algebra.
متن کاملذخیره 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 Pure and Applied Algebra
سال: 2011
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2011.02.004