The marked Brauer category
نویسندگان
چکیده
منابع مشابه
The marked Brauer category
We introduce the marked Brauer algebra and the marked Brauer category. These generalize the analogous constructions for the ordinary Brauer algebra to the setting of a homogeneous bilinear form on a Z2-graded vector space. We classify the simple modules of the marked Brauer algebra over any field of characteristic not two. Under suitable assumptions we show that the marked Brauer algebra is in ...
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An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...
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Let X be a smooth, geometrically irreducible variety over a field k. Recall that the defining property of an Azumaya algebra A is that, for any field K containing k and any point P ∈ X(K), we can evaluate A at P to get a central simple algebra A(P ) over K. In particular, suppose that k is a number field. Then, for each place v of k, we can evaluate A at points of X(kv) to get central simple al...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2017
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12015