3 papers
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.QA2025
Deformations of the five dimensional Heisenberg Lie algebra
Alice Fialowski, Ashis Mandal
In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra over complex or real number fields. We show…
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…