A Soergel-like category for complex reflection groups of rank one

Gobet, Thomas; Thiel, Anne-Laure

doi:10.1007/s00209-019-02358-x

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Twenty Love Poems and A Song Of Despair1

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2022

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“…The only result I know in this direction is the rank 1 construction in [GT20], although this question is as old as I can remember (I start remembering from 2008).…”

Section: Twenty Love Poems and A Song Of Despairmentioning

confidence: 99%

IntroSurvey of representation theory

Libedinsky¹

2022

Preprint

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There could be thousands of Introductions/Surveys of representation theory, given that it is an enormous field. This is just one of them, quite personal and informal. It has an increasing level of difficulty; the first part is intended for final year undergrads. We explain some basics of representation theory, notably Schur-Weyl duality and representations of the symmetric group. We then do the quantum version, introduce Kazhdan-Lusztig theory, quantum groups and their categorical versions. We then proceed to a survey of some recent advances in modular representation theory. We finish with twenty open problems and a song of despair.

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“…The only result I know in this direction is the rank 1 construction in [GT20], although this question is as old as I can remember (I start remembering from 2008).…”

Section: Twenty Love Poems and A Song Of Despairmentioning

confidence: 99%