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All Outputs (2)

Normalizers of maximal tori and real forms of Lie groups (2022)
Journal Article
Gerasimov, A. A., Lebedev, D. R., & Oblezin, S. V. (2022). Normalizers of maximal tori and real forms of Lie groups. European Journal of Mathematics, 8(2), 655-671. https://doi.org/10.1007/s40879-022-00536-6

Given a complex connected reductive Lie group G with a maximal torus H⊂G, Tits defined an extension WTG of the corresponding Weyl group WG. The extended group is supplied with an embedding into the normalizer NG(H) such that WTG together with H gener... Read More about Normalizers of maximal tori and real forms of Lie groups.

Baxter Operator Formalism for Macdonald Polynomials (2013)
Journal Article
Gerasimov, A., Lebedev, D., & Oblezin, S. (2014). Baxter Operator Formalism for Macdonald Polynomials. Letters in Mathematical Physics, 104(2), 115-139. https://doi.org/10.1007/s11005-013-0659-9

We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A. Precisely, we construct a bispectral pair of mutually commuting Baxter operators such that the Macdonald polynomials... Read More about Baxter Operator Formalism for Macdonald Polynomials.