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math.PR2025
Markov chains on Weyl groups from the geometry of the flag variety
Persi Diaconis, Calder Morton-Ferguson
This paper studies a basic Markov chain, the Burnside process, on the space of flags with and its upper triangular matrices. This gives rise to a…
math.RT2025
Weight modules and gluing of sheaves on the flag variety
Pablo Boixeda Alvarez, Calder Morton-Ferguson
We study a natural enlargement of the BGG Category O for a semisimple Lie algebra: the category of weight modules with trivial central character and finite-dimensional weight space…
math.RT2025
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…