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19962022
most citedRepresentations of the braid group B_3 and of SL(2,Z)

33 citations · 87 across the 13 of their papers we have counts for

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10 papers · 1 filter

math.QA2022

On module categories related to Sp(N-1) \subset Sl(N)

Hans Wenzl

Let $V=\C^N$ with odd. We construct a -deformation of $\End_{Sp(N-1)}(V^{\otimes n})$ which contains $\End_{U_q\sl_N}(V^{\otimes n})$. It is a quotient of an abstract two-va…

math.QA2020★ 3 cited

Dualities for spin representations

Hans Wenzl

Let be the spinor representation of , for odd and not a rooot of unity. We show that the commutant of its action on is given by a…

math.QA2020

Braid Rigidity for Path Algebras

Lilit Martirosyan, Hans Wenzl

Path algebras are a convenient way of describing decompositions of tensor powers of an object in a tensor category. If the category is braided, one obtains representations of the b…

math.QA2018★ 1 cited

On representations of

Hans Wenzl

We study representations of the non-standard quantum deformation of via a Verma module approach. This is used to recover the classification of finite-dimensional…

math.QA2014★ 21 cited

Braid group representations are Gaussian

Eric C. Rowell, Hans Wenzl

We give a description of the centralizer algebras for tensor powers of spin objects in the pre-modular categories (for odd) and (for even) in terms of qu…

math.QA2011★ 5 cited

On centralizer algebras for spin representations

Hans Wenzl

We give a presentation of the centralizer algebras for tensor products of spinor representations of quantum groups via generators and relations. In the even-dimensional case, this…