Tyler J. Evans

activity

20012024

most citedCohomology of Restricted Lie Algebras

9 citations · 15 across the 10 of their papers we have counts for

collaborators

10 papers

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 $F$ of characteristic $p > 0$ admit a family of restricted Lie algebras, and we classify all such non-isomorphic restri…

math.RT2022★ 2 cited

Central Extensions of Restricted Affine Nilpotent Lie Algebras $n_{+} (A_{1}^{(1)}) (p)$

Tyler J. Evans, Alice Fialowski

Consider the maximal nilpotent subalgebra $n_{+} (A_{1}^{(1)})$ of the simplest affine algebra $A_{1}^{(1)}$ which is one of the $N$ -graded Lie algebras with minimal number of ge…

math.RT2019★ 2 cited

Cohomology of Restricted Filiform Lie Algebras $m_{2}^{λ} (p)$

Tyler J. Evans, Alice Fialowski

For the $p$ -dimensional filiform Lie algebra $m_{2} (p)$ over a field $F$ of prime characteristic $p \geq 5$ with nonzero Lie brackets $[e_{1}, e_{i}] = e_{i + 1}$ for $1…

math.RT2018

Restricted One-dimensional Central Extensions of the Restricted Filiform Lie Algebras $m_{0}^{λ} (p)$

Tyler J. Evans, Alice Fialowski

We show, for a field $F$ of prime characteristic $p > 0$ , that the truncated filiform Lie algebra $m_{0} (p)$ admits a family $m_{0}^{λ} (p)$ of restricted Lie alge…

math.RT2015★ 1 cited

Restricted One-dimensional Central Extensions of Simple Restricted Lie Algebras

Tyler J. Evans, Alice Fialowski

In this paper, we describe restricted one-dimensional central extensions of all finite dimensional simple restricted Lie algebras defined over fields of characteristic $p \geq 5$ .

math.RT2015

Restricted Cohomology of Modular Witt Algebras

Tyler J. Evans, Alice Fialowski, Michael Penkava

We classify one-dimensional restricted central extensions of the modular Witt Lie algebra in characteristic $p > 3$ .

On the Cohomology of Restricted Heisenberg Lie Algebras

Central Extensions of Restricted Affine Nilpotent Lie Algebras n+​(A1(1)​)(p)

Cohomology of Restricted Filiform Lie Algebras m2λ​(p)

Restricted One-dimensional Central Extensions of the Restricted Filiform Lie Algebras m0λ​(p)

Restricted One-dimensional Central Extensions of Simple Restricted Lie Algebras

Restricted Cohomology of Modular Witt Algebras

Central Extensions of Restricted Affine Nilpotent Lie Algebras $n_{+} (A_{1}^{(1)}) (p)$

Cohomology of Restricted Filiform Lie Algebras $m_{2}^{λ} (p)$

Restricted One-dimensional Central Extensions of the Restricted Filiform Lie Algebras $m_{0}^{λ} (p)$