Categorical Relations Between Langlands Dual Quantum Affine Algebras: Exceptional Cases

Correction to: Categorical Relations Between Langlands Dual Quantum Affine Algebras: Exceptional Cases

“…2 (z − q 10 ) 2+ (1) 3 (z − q 12 ) 2+ (1) 4 (z − q 14 ) 2+ (2) 4 × (z − q 16 ) 2+ (2) 4 (z − q 18 ) 2+ (1) 4 (z − q 20 ) 3+ (1) 3 (z − q 22 ) 3+ (1) 2 (z − q 24 ) 3+ (1) 4,5 (z) = (z + q 3 )(z + q 5 ) 2 (z + q 7 ) 2+ (1) 1 (z + q 9 ) 2+ (1) 2 (z + q 11 ) 2+ (2) 2 (z + q 13 ) 2+ (1) 3 (z + q 15 ) 2+ (2)…”

“…D]. We will use the same notation as in [2]; in particular, d i, j (z):=d X (r ) n i, j (z) denotes the denominator formula for R norm V ( i ) x ,V ( j ) y in the affine Lie algebra of type X (r ) n , where z = x/y. We also require the following.…”

“…we have the twisted analogue of Proposition (2) Q (α k ) is simple, and there exists a surjective homomorphism V (2) Q (β) (2) Q (α k ).…”

“…× (z + q 17 ) 2+ (1) 3 (z + q 19 ) 3+ (2) 2 (z + q 21 ) 2+ (1) 2 (z + q 23 ) 3+ (1) 1 (z + q 25 ) 3 (z + q 27 ) 2 (z + q 29 ),…”

Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality

“…While the author was writing this paper, there appeared a preprint by Oh-Scrimshaw [19] in arXiv which also proves Theorem 1.2 by a different approach. They compute the denominators of the normalized R-matrices for type E explicitly with a computer.…”