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math.RA2023
On the formal Peterson subalgebra and its dual
Rui Xiong, Kirill Zainoulline, Changlong Zhong
In the present notes, we study a generalization of the Peterson subalgebra to an oriented (generalized) cohomology theory which we call the formal Peterson subalgebra. Observe that…
math.RA2017
Formal affine Demazure and Hecke algebras of Kac-Moody root systems
Baptiste Calmès, Kirill Zainoulline, Changlong Zhong
We define the formal affine Demazure algebra and formal affine Hecke algebra associated to a Kac-Moody root system. We prove the structure theorems of these algebras, hence, extend…