Matching Tag: elliptic-quantum-groups
Let g {\bf g} g be one of the twisted affine Lie algebra types A 2 n ( 2 ) A_{2n}^{(2)} A 2 n ( 2 ) or A 2 n − 1 ( 2 ) A_{2n-1}^{(2)} A 2 n − 1 ( 2 ) , or let the type be G 2 ( 1 ) G_2^{(1)} G 2 ( 1 ) . Let R ( λ ) {\cal R}(\lambda) R ( λ ) denote the universal dynami…
Let L ^ + ( v ) ∈ End ( C N ) ⊗ U q , p ( s l ^ N ) \widehat{L}^+(v)\in\operatorname{End}(\mathbb{C}^N)\otimes U_{q,p}(\widehat{\mathfrak{sl}}_N) L + ( v ) ∈ End ( C N ) ⊗ U q , p ( sl N ) be the L-operator constructed from the half currents, and let R + ( v , P ) R^+(v,P) R + ( v , P ) be the…
Elliptic quantum group and geometric representation conjectures. (1) Vertex operators of U q , p ( g ^ ) U_{q,p}(\widehat{\mathfrak g}) U q , p ( g ) or U t 1 , t 2 , p ( g t o r ) U_{t_1,t_2,p}(\mathfrak g_{tor}) U t 1 , t 2 , p ( g t or ) defined as intertwin…
Let U q , p ( [ . . . ? ? ] U_{q,p}([...??] U q , p ([ ... ??] be the elliptic quantum algebra with half currents assembled into the L L L -operator [ . . . ? ? ] [...??] [ ... ??] . For two auxiliary tensor components, write [ . . . ? ? ] [...??] [ ... ??] and let…