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math.QA2017★ 9 cited
Advances in R-matrices and their applications (after Maulik-Okounkov, Kang-Kashiwara-Kim-Oh,...)
David Hernandez
R-matrices are the solutions of the Yang-Baxter equation. At the origin of the quantum group theory, they may be interpreted as intertwining operators. Recent advances have been ma…
math.QA2014
Spectre des systèmes intégrables quantiques et représentations linéaires
David Hernandez
We review arXiv:1308.3444 and arXiv:1104.1891. The structure of the spectrum of a quantum integrable system is crucial to understand its properties. In his seminar 1971 paper, Baxt…
math.QA2001
t-analogues des operateurs d'ecrantage associes aux q-caracteres (t-analogs of screening operators related to q-characters)
David Hernandez
Frenkel and Reshetikhin introduced screening operators related to q-characters of finite dimensional representations of quantum affine algebras. We propose t-analogs of screening o…