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arXiv · 1709.06347

The structure of q-W algebras

A. Sevostyanov
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Abstract

We suggest two explicit descriptions of the Poisson q-W algebras which are Poisson algebras of regular functions on certain algebraic group analogues of the Slodowy transversal slices to adjoint orbits in a complex semisimple Lie algebra g. To obtain the first description we introduce certain projection operators which are analogous to the quasi-classical versions of the so-called Zhelobenko and extremal projection operators. As a byproduct we obtain some new formulas for natural coordinates on Bruhat cells in algebraic groups.

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A. Sevostyanov. 2017-09-19. The structure of q-W algebras. https://arxiv.org/abs/1709.06347

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