p-Jones-Wenzl idempotents
نویسندگان
چکیده
منابع مشابه
Jones-wenzl Idempotents for Rank 2 Simple Lie Algebras
Temperley-Lieb algebras have been generalized to web spaces for rank 2 simple Lie algebras. Using these webs, we find a complete description of the Jones-Wenzl idempotents for the quantum sl(3) and sp(4) by single clasp expansions. We discuss applications of these expansions.
متن کاملCategorification of the Jones-wenzl Projectors
The Jones-Wenzl projectors pn play a central role in quantum topology, underlying the construction of SU(2) topological quantum field theories and quantum spin networks. We construct chain complexes Pn , whose graded Euler characteristic is the “classical” projector pn in the Temperley-Lieb algebra. We show that the Pn are idempotents and uniquely defined up to homotopy. Our results fit within ...
متن کاملA Formula for the Jones-wenzl Projections
I present a method of calculating the coe cients appearing in the Jones-Wenzl projections in the Temperley-Lieb algebras. It essentially repeats the approach of Frenkel and Khovanov in [4] published in 1997. I wrote this note mid-2002, not knowing about their work, but then set it aside upon discovering their article. Recently I decided to dust it o and place it on the arXiv — hoping the self-c...
متن کاملIdempotents for Birman–Murakami–Wenzl algebras and reflection equation
A complete system of pairwise orthogonal minimal idempotents for Birman–Murakami–Wenzl algebras is obtained by a consecutive evaluation of a rational function in several variables on sequences of quantum contents of up-down tableaux. A byproduct of the construction is a one-parameter family of fusion procedures for Hecke algebras. Classical limits to two different fusion procedures for Brauer a...
متن کاملSkein Construction of Idempotents in Birman-murakami-wenzl Algebras
We give skein theoretic formulas for minimal idempotents in the Birman-Murakami-Wenzl algebras. These formulas are then applied to derive various known results needed in the construction of quantum invariants and modular categories. In particular, an elementary proof of the Wenzl formula for quantum dimensions is given. This proof does not use the representation theory of quantum groups and the...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2019
ISSN: 0001-8708
DOI: 10.1016/j.aim.2019.06.005