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math.RT2026
Classification of marked elliptic root systems with non-reduced quotient
A. Fialowski, K. Iohara, Y. Saito
K. Saito (Publ. RIMS 21 (1), 1985, 75-179) has introduced a class of root systems called elliptic root systems which lies in the real vector space with a metric whose signa…
math.RT2024
On the Cohomology of Restricted Heisenberg Lie Algebras
Tyler J. Evans, Alice Fialowski, Yong Yang
We show that the Heisenberg Lie algebras over a field of characteristic admit a family of restricted Lie algebras, and we classify all such non-isomorphic restri…