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The generic representation theory of the Juyumaya algebra of braids and ties
generic representation theory Juyumaya algebra braids and ties
2011/8/29
Abstract: In this paper we determine the complex generic representation theory of the Juyumaya algebra. We show that a certain specialization of this algebra is isomorphic to the small ramified partit...
Generic Representation Theory of the Additive and Heisenberg Groups
Representation Theory Additive Heisenberg Groups
2010/11/9
In this paper we give an intimate connection between the characteristic zero representation theories of the Additive and Heisenberg groups, and their characteristic p >0 theories when p is much larger...
Ultraproducts of Tannakian Categories and Generic Representation Theory of Unipotent Algebraic Groups
Ultraproducts of Tannakian Categories Representation Theory Unipotent Algebraic Groups
2010/11/9
The principle of tannakian duality states that any neutral tannakian category is tensorially equivalent to the category Rep_k G of finite dimensional representations of some affine group scheme G and ...