The rectangular representation of the double affine Hecke algebra via elliptic Schur-Weyl duality

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Jordan, David; Vazirani, Monica;
  • Related identifiers: doi: 10.1093/imrn/rnz030
  • Subject: Mathematics - Combinatorics | Mathematics - Representation Theory | Mathematics - Quantum Algebra
    arxiv: Mathematics::Representation Theory

Given a module $M$ for the algebra $\mathcal{D}_{\mathtt{q}}(G)$ of quantum differential operators on $G$, and a positive integer $n$, we may equip the space $F_n^G(M)$ of invariant tensors in $V^{\otimes n}\otimes M$, with an action of the double affine Hecke algebra o... View more
  • References (17)
    17 references, page 1 of 2

    Per(T ab(u)) 16 DAVID JORDAN AND MONICA VAZIRANI We can associate to SLn the quotient Sn = Sbn/hπni. Then we can think of the image, π, of π as the Dynkin diagram automorphism or the generator of the cyclic group ΛslN /Q.

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