On q-deformed gll 1-Whittaker function II - Mathematics > Representation TheoryReport as inadecuate




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Abstract: A representation of a specialization of a q-deformed class one latticegl\ell+1}-Whittaker function in terms of cohomology groups of line bundles onthe space QM dP^{\ell} of quasi-maps P^1 to P^{\ell} of degree d is proposed.For \ell=1, this provides an interpretation of non-specialized q-deformedgl2-Whittaker function in terms of QM d\IP^1. In particular the q-versionof Mellin-Barnes representation of gl2-Whittaker function is realized as asemi-infinite period map. The explicit form of the period map manifests animportant role of q-version of Gamma-function as a substitute of topologicalgenus in semi-infinite geometry. A relation with Givental-Lee universalsolution J-function of q-deformed gl2-Toda chain is also discussed.



Author: Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin

Source: https://arxiv.org/







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