Willem A. de Graaf

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20242026

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math.GR2025

The subalgebras of the generalized special unitary algebra $su (2, 1)$

Andrew Douglas, Willem A. de Graaf

We classify the real subalgebras of the generalized special unitary algebra $su (2, 1)$ , a non-compact real form of the complex special linear algebra $\mathfrak{sl}_3(\ma…

math.GR2025

The Subalgebras of the Real Forms of $\mathfrak{sl}_3(\mathbb{C})$

Andrew Douglas, Willem A. de Graaf

We classify the subalgebras of the real forms the complex linear algebra $sl_{3} (C)$ , namely the real special linear algebra $sl_{3} (R)$ , the sp…

math.GR2024

Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

Maciej Bochenski, Willem A. de Graaf, Piotr Jastrzebski +1

We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new ex…

The subalgebras of the generalized special unitary algebra su(2,1)

The Subalgebras of the Real Forms of \(\mathfrak{sl}_3(\mathbb{C})\)

Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces

The subalgebras of the generalized special unitary algebra $su (2, 1)$