2019
DOI: 10.1007/978-3-030-23531-4_6
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Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

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Cited by 39 publications
(49 citation statements)
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“…In Section 3(ii), we recall the RTT integral form U rtt v (Lgl n ) following [FRT, DF]. The latter is a C[v, v −1 ]-algebra, which can be thought of as a quantization of the algebra of functions on the thick slice † W 0 of [FT,4(viii)] (see (3.12) and Remark 3.61) as v → 1.…”
Section: Contentsmentioning
confidence: 99%
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“…In Section 3(ii), we recall the RTT integral form U rtt v (Lgl n ) following [FRT, DF]. The latter is a C[v, v −1 ]-algebra, which can be thought of as a quantization of the algebra of functions on the thick slice † W 0 of [FT,4(viii)] (see (3.12) and Remark 3.61) as v → 1.…”
Section: Contentsmentioning
confidence: 99%
“…In Section 4(ii), we recall the notion of the (extended) quantized K-theoretic Coulomb branch A v (which is a C[v, v −1 ]-algebra) and the fact that Φ λ µ gives rise to a homomor- In Section 4(iii), we prove a reduced version of the integral counterpart of [FT,Conjecture 8.14], see Conjecture 4.40, which identifies Ker(Φ λ µ ) with an explicit truncation ideal I λ µ in the particular case µ = 0, λ = nω n−1 (which corresponds to the dimension vector (1, 2, . .…”
Section: Contentsmentioning
confidence: 99%
See 1 more Smart Citation
“…In [46], the Lax matrices for the Toda system were discussed in the context of 'shifted Yangians' or 'shifted quantum affine algebras'. Apparently, some of these Lax matrices have similar structures as L-operators for Q-operators.…”
Section: Discussionmentioning
confidence: 99%
“…The quantum toroidal algebra in the left-hand side of this relation is known ( [17]) to act on the K-theory of the following moduli space:…”
Section: Introductionmentioning
confidence: 99%