28 citations · 161 across the 44 of their papers we have counts for
52 papers
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…
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…
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…
Classification of marked elliptic root systems with non-reduced affine quotient
A. Fialowski, K. Iohara, Y. Saito
The class of root systems, called elliptic root systems, were introduced in 1985 by K. Saito, for his studies on a normal surface singularity which contains a regular elliptic curv…
Central Extensions of Restricted Affine Nilpotent Lie Algebras
Tyler J. Evans, Alice Fialowski
Consider the maximal nilpotent subalgebra of the simplest affine algebra which is one of the -graded Lie algebras with minimal number of ge…
On the cohomology of Lie algebras with an invariant inner product
Alice Fialowski, Michael Penkava
In this work we consider all metric Lie algebras, having a nondegenerate symmetric invariant bilinear form, over \C and \R up to dimension 5 and all metric Lie algebras over \C in…