Representations of tensor categories coming from quantum linear spaces
نویسنده
چکیده
Exact indecomposable module categories over the tensor category of representations of Hopf algebras that are liftings of quantum linear spaces are classified.
منابع مشابه
Irreducibility of the tensor product of Albeverio's representations of the Braid groups $B_3$ and $B_4$
We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$. We specialize the indeterminates used in defining these representations to non zero complex numbers. We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$. We then determine necessary and sufficient conditions that guarantee the irreducibility of th...
متن کاملPOSITIVITY AND THE CANONICAL BASIS OF TENSOR PRODUCTS OF FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF QUANTUM sl(k)
In a categorification of tensor products of fundamental representations of quantum sl(k) via highest weight categories, the indecomposable tilting modules descend to the canonical basis. Projective functors map tilting modules to tilting modules implying the coefficients of the canonical basis of tensor products of finite dimensional, irreducible representations under the action of the Chevalle...
متن کاملm at h . Q A ] 2 S ep 2 00 5 TENSOR CATEGORIES AND VACANT DOUBLE GROUPOIDS
We show that fusion categories Rep(kστT ) of representations of the weak Hopf algebra coming from a vacant double groupoid T and a pair (σ, τ ) of compatible 2-cocyles are group-theoretical.
متن کاملTensor Structures Arising from Affine Lie Algebras
This paper is a part of the series [KL]; however, it can be read independently of the first two parts. In [D3], Drinfeld proved the existence of an equivalence between a tensor category of representations of a quantum group over C[[ ro]] and a tensor category of representations of an undeformed enveloping algebra over C[[ro]] , in which the associativity constraints are given by the Knizhnik-Za...
متن کاملIntrinsic Characterizations of Orthogonal Separability for Natural Hamiltonians with Scalar Potentials on Pseudo-Riemannian Spaces
Orthogonal separability of finite-dimensional Hamiltonians is characterized by using various geometrical concepts, including Killing tensors, moving frames, the Nijenhuis tensor, bi-Hamiltonian and quasi-bi-Hamiltonian representations. In addition, a complete classification of separable metrics defined in two-dimensional locally flat Lorenzian spaces is presented.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. London Math. Society
دوره 83 شماره
صفحات -
تاریخ انتشار 2011